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22335161340 = 223517109719961
BaseRepresentation
bin10100110011010001…
…111000001111111100
32010122120112202101210
4110303101320033330
5331220300130330
614132144004420
71420325511312
oct246321701774
963576482353
1022335161340
119521686328
1243b4000710
13214c4110cb
14111c4a80b2
158aac858b0
hex5334783fc

22335161340 has 96 divisors (see below), whose sum is σ = 66280866624. Its totient is φ = 5600296960.

The previous prime is 22335161293. The next prime is 22335161369. The reversal of 22335161340 is 4316153322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22335161298 and 22335161307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1108960 + ... + 1128920.

It is an arithmetic number, because the mean of its divisors is an integer number (690425694).

Almost surely, 222335161340 is an apocalyptic number.

22335161340 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 22335161340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33140433312).

22335161340 is an abundant number, since it is smaller than the sum of its proper divisors (43945705284).

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

22335161340 is a wasteful number, since it uses less digits than its factorization.

22335161340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087 (or 21085 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 22335161340 in words is "twenty-two billion, three hundred thirty-five million, one hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1097 2194 3291 4388 5485 6582 10970 13164 16455 18649 19961 21940 32910 37298 39922 55947 59883 65820 74596 79844 93245 99805 111894 119766 186490 199610 223788 239532 279735 299415 339337 372980 399220 559470 598830 678674 1018011 1118940 1197660 1357348 1696685 2036022 3393370 4072044 5090055 6786740 10180110 20360220 21897217 43794434 65691651 87588868 109486085 131383302 218972170 262766604 328458255 372252689 437944340 656916510 744505378 1116758067 1313833020 1489010756 1861263445 2233516134 3722526890 4467032268 5583790335 7445053780 11167580670 22335161340