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22221420120 = 2334517403439
BaseRepresentation
bin10100101100011111…
…111111011001011000
32010100122112002210000
4110230133333121120
5331002140420440
614113002053000
71414444645254
oct245437773130
963318462700
1022221420120
119473459919
124381aaa160
132131998c03
14110b33b264
158a0cb9730
hex52c7ff658

22221420120 has 160 divisors (see below), whose sum is σ = 79082308800. Its totient is φ = 5577126912.

The previous prime is 22221420107. The next prime is 22221420127. The reversal of 22221420120 is 2102412222.

22221420120 is a `hidden beast` number, since 2 + 2 + 221 + 420 + 1 + 20 = 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 = 22221420093 and 22221420102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221420127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 146640 + ... + 256799.

It is an arithmetic number, because the mean of its divisors is an integer number (494264430).

Almost surely, 222221420120 is an apocalyptic number.

22221420120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221420120 is an abundant number, since it is smaller than the sum of its proper divisors (56860888680).

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

22221420120 is a wasteful number, since it uses less digits than its factorization.

22221420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403479 (or 403466 counting only the distinct ones).

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

Adding to 22221420120 its reverse (2102412222), we get a palindrome (24323832342).

The spelling of 22221420120 in words is "twenty-two billion, two hundred twenty-one million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 403439 806878 1210317 1613756 2017195 2420634 3227512 3630951 4034390 4841268 6051585 6858463 7261902 8068780 9682536 10892853 12103170 13716926 14523804 16137560 18154755 20575389 21785706 24206340 27433852 29047608 32678559 34292315 36309510 41150778 43571412 48412680 54464265 54867704 61726167 65357118 68584630 72619020 82301556 87142824 102876945 108928530 123452334 130714236 137169260 145238040 163392795 164603112 185178501 205753890 217857060 246904668 261428472 274338520 308630835 326785590 370357002 411507780 435714120 493809336 555535503 617261670 653571180 740714004 823015560 925892505 1111071006 1234523340 1307142360 1481428008 1851785010 2222142012 2469046680 2777677515 3703570020 4444284024 5555355030 7407140040 11110710060 22221420120