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22404101343020 = 22519232313356077
BaseRepresentation
bin1010001100000010111001…
…00000001000011100101100
32221022210220100021112112222
411012001130200020130230
510414032044420434040
6115352145125214512
74501433342202155
oct506013440103454
987283810245488
1022404101343020
117158587152a01
12261a094261438
13c6690ba9ba17
1457651588492c
1528cbae84ebb5
hex14605c80872c

22404101343020 has 144 divisors (see below), whose sum is σ = 51937280703840. Its totient is φ = 8094877959168.

The previous prime is 22404101342993. The next prime is 22404101343037. The reversal of 22404101343020 is 2034310140422.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62741222 + ... + 63097298.

Almost surely, 222404101343020 is an apocalyptic number.

22404101343020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22404101343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968640351920).

22404101343020 is an abundant number, since it is smaller than the sum of its proper divisors (29533179360820).

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

22404101343020 is a wasteful number, since it uses less digits than its factorization.

22404101343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356464 (or 356439 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22404101343020 its reverse (2034310140422), we get a palindrome (24438411483442).

The spelling of 22404101343020 in words is "twenty-two trillion, four hundred four billion, one hundred one million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 115 190 230 313 380 437 460 529 626 874 1058 1252 1565 1748 2116 2185 2645 3130 4370 5290 5947 6260 7199 8740 10051 10580 11894 14398 20102 23788 28796 29735 35995 40204 50255 59470 71990 100510 118940 136781 143980 165577 201020 273562 331154 356077 547124 662308 683905 712154 827885 1367810 1424308 1655770 1780385 2735620 3145963 3311540 3560770 6291926 6765463 7121540 8189771 12583852 13530926 15729815 16379542 27061852 31459630 32759084 33827315 40948855 62919260 67654630 81897710 111452101 135309260 155605649 163795420 188364733 222904202 311211298 376729466 445808404 557260505 622422596 753458932 778028245 941823665 1114521010 1556056490 1883647330 2117589919 2229042020 2563398323 3112112980 3578929927 3767294660 4235179838 5126796646 7157859854 8470359676 10253593292 10587949595 12816991615 14315719708 17894649635 21175899190 25633983230 35789299270 42351798380 48704568137 51267966460 58958161429 71578598540 97409136274 117916322858 194818272548 235832645716 243522840685 294790807145 487045681370 589581614290 974091362740 1120205067151 1179163228580 2240410134302 4480820268604 5601025335755 11202050671510 22404101343020