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22010421020220 = 223252915726857043
BaseRepresentation
bin1010000000100101100110…
…10100111000011000111100
32212221011202002022000220200
411000102303110320120330
510341104320240121340
6114451240421443500
74431125515522053
oct500226324703074
985834662260820
1022010421020220
117016626945626
122575925570590
13c3875c826759
1456144ab4739a
1528281cb88330
hex1404b353863c

22010421020220 has 144 divisors (see below), whose sum is σ = 69507104153760. Its totient is φ = 5630954853888.

The previous prime is 22010421020179. The next prime is 22010421020221. The reversal of 22010421020220 is 2202012401022.

22010421020220 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 0 + 421 + 0 + 20 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22010421020193 and 22010421020202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22010421020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12608982 + ... + 14248061.

It is an arithmetic number, because the mean of its divisors is an integer number (482688223290).

Almost surely, 222010421020220 is an apocalyptic number.

22010421020220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22010421020220 is an abundant number, since it is smaller than the sum of its proper divisors (47496683133540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22010421020220 is a wasteful number, since it uses less digits than its factorization.

22010421020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26857244 (or 26857239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22010421020220 its reverse (2202012401022), we get a palindrome (24212433421242).

The spelling of 22010421020220 in words is "twenty-two trillion, ten billion, four hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 157 174 180 261 290 314 348 435 471 522 580 628 785 870 942 1044 1305 1413 1570 1740 1884 2355 2610 2826 3140 4553 4710 5220 5652 7065 9106 9420 13659 14130 18212 22765 27318 28260 40977 45530 54636 68295 81954 91060 136590 163908 204885 273180 409770 819540 26857043 53714086 80571129 107428172 134285215 161142258 241713387 268570430 322284516 402855645 483426774 537140860 778854247 805711290 966853548 1208566935 1557708494 1611422580 2336562741 2417133870 3115416988 3894271235 4216555751 4673125482 4834267740 7009688223 7788542470 8433111502 9346250964 11682813705 12649667253 14019376446 15577084940 16866223004 21082778755 23365627410 25299334506 28038752892 35048441115 37949001759 42165557510 46731254820 50598669012 63248336265 70096882230 75898003518 84331115020 122280116779 126496672530 140193764460 151796007036 189745008795 244560233558 252993345060 366840350337 379490017590 489120467116 611400583895 733680700674 758980035180 1100521051011 1222801167790 1467361401348 1834201751685 2201042102022 2445602335580 3668403503370 4402084204044 5502605255055 7336807006740 11005210510110 22010421020220