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22335322401 = 357314110331
BaseRepresentation
bin10100110011010010…
…011111100100100001
32010122120211221100000
4110303102133210201
5331220320304101
614132151250213
71420330052010
oct246322374441
963576757300
1022335322401
119521786337
1243b4079969
13214c469502
14111c50aa77
158aacb8486
hex53349f921

22335322401 has 96 divisors (see below), whose sum is σ = 40436637696. Its totient is φ = 12048912000.

The previous prime is 22335322393. The next prime is 22335322423. The reversal of 22335322401 is 10422353322.

22335322401 is a `hidden beast` number, since 2 + 2 + 335 + 322 + 4 + 0 + 1 = 666.

It is not a de Polignac number, because 22335322401 - 23 = 22335322393 is a prime.

It is a super-2 number, since 2×223353224012 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22335322201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2156806 + ... + 2167136.

It is an arithmetic number, because the mean of its divisors is an integer number (421214976).

Almost surely, 222335322401 is an apocalyptic number.

22335322401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22335322401 is a deficient number, since it is larger than the sum of its proper divisors (18101315295).

22335322401 is a wasteful number, since it uses less digits than its factorization.

22335322401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10425 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 22335322401 its reverse (10422353322), we get a palindrome (32757675723).

The spelling of 22335322401 in words is "twenty-two billion, three hundred thirty-five million, three hundred twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 27 31 41 63 81 93 123 189 217 243 279 287 369 567 651 837 861 1107 1271 1701 1953 2511 2583 3321 3813 5859 7533 7749 8897 9963 10331 11439 17577 23247 26691 30993 34317 52731 69741 72317 80073 92979 102951 216951 240219 278937 308853 320261 423571 650853 720657 836811 960783 1270713 1952559 2161971 2241827 2510433 2882349 2964997 3812139 5857677 6725481 8647047 8894991 11436417 13130701 17573031 20176443 25941141 26684973 34309251 39392103 60529329 77823423 80054919 91914907 102927753 118176309 181587987 240164757 275744721 354528927 544763961 720494271 827234163 1063586781 2481702489 3190760343 7445107467 22335322401