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23322204045 = 345741283709
BaseRepresentation
bin10101101110000111…
…001001011110001101
32020012100211201110000
4111232013021132031
5340230441012140
614414123434513
71453642314660
oct255607113615
966170751400
1023322204045
11998885a0a8
12462a685a39
132278a6264a
1411b36016d7
15917757a30
hex56e1c978d

23322204045 has 160 divisors (see below), whose sum is σ = 49187255040. Its totient is φ = 10350167040.

The previous prime is 23322204023. The next prime is 23322204047. The reversal of 23322204045 is 54040222332.

It is a happy number.

23322204045 is a `hidden beast` number, since 2 + 3 + 32 + 220 + 404 + 5 = 666.

It is not a de Polignac number, because 23322204045 - 25 = 23322204013 is a prime.

It is a super-2 number, since 2×233222040452 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23322204047) 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 159 ways as a sum of consecutive naturals, for example, 32894151 + ... + 32894859.

It is an arithmetic number, because the mean of its divisors is an integer number (307420344).

Almost surely, 223322204045 is an apocalyptic number.

It is an amenable number.

23322204045 is an abundant number, since it is smaller than the sum of its proper divisors (25865050995).

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

23322204045 is a wasteful number, since it uses less digits than its factorization.

23322204045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 23322204045 its reverse (54040222332), we get a palindrome (77362426377).

The spelling of 23322204045 in words is "twenty-three billion, three hundred twenty-two million, two hundred four thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 41 45 63 81 105 123 135 189 205 283 287 315 369 405 567 615 709 849 861 945 1107 1415 1435 1845 1981 2127 2547 2583 2835 3321 3545 4245 4305 4963 5535 5943 6381 7641 7749 9905 10635 11603 12735 12915 14889 16605 17829 19143 22923 23247 24815 29069 29715 31905 34809 38205 38745 44667 53487 57429 58015 74445 81221 87207 89145 95715 104427 114615 116235 134001 145345 160461 174045 200647 203483 223335 243663 261621 267435 287145 313281 402003 406105 436035 522135 601941 610449 670005 730989 784863 802305 939843 1003235 1017415 1218315 1308105 1404529 1566405 1805823 1831347 2010015 2192967 2354589 3009705 3052245 3654945 3924315 4213587 4699215 5417469 5494041 6578901 7022645 8226527 9029115 9156735 10964835 11772945 12640761 16252407 16482123 21067935 24679581 27087345 27470205 32894505 37922283 41132635 57585689 63203805 74038743 81262035 82410615 113766849 123397905 172757067 189611415 222116229 287928445 370193715 518271201 568834245 666348687 863785335 1110581145 1554813603 2591356005 3331743435 4664440809 7774068015 23322204045