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22145354205 = 35131392832887
BaseRepresentation
bin10100100111111101…
…110100100111011101
32010011100101112221220
4110213331310213131
5330323202313310
614101243443553
71412532255612
oct244775644735
963140345856
1022145354205
119434525427
1243605265b9
13211bcb53b0
1411011ba509
15899291670
hex527f749dd

22145354205 has 64 divisors (see below), whose sum is σ = 38581831680. Its totient is φ = 10781911296.

The previous prime is 22145354171. The next prime is 22145354227. The reversal of 22145354205 is 50245354122.

It is a happy number.

It is not a de Polignac number, because 22145354205 - 26 = 22145354141 is a prime.

It is a super-3 number, since 3×221453542053 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7669272 + ... + 7672158.

It is an arithmetic number, because the mean of its divisors is an integer number (602841120).

Almost surely, 222145354205 is an apocalyptic number.

It is an amenable number.

22145354205 is a deficient number, since it is larger than the sum of its proper divisors (16436477475).

22145354205 is a wasteful number, since it uses less digits than its factorization.

22145354205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3330.

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 22145354205 in words is "twenty-two billion, one hundred forty-five million, three hundred fifty-four thousand, two hundred five".

Divisors: 1 3 5 13 15 39 65 139 195 283 417 695 849 1415 1807 2085 2887 3679 4245 5421 8661 9035 11037 14435 18395 27105 37531 39337 43305 55185 112593 118011 187655 196685 401293 511381 562965 590055 817021 1203879 1534143 2006465 2451063 2556905 4085105 5216809 6019395 7670715 10621273 12255315 15650427 26084045 31863819 53106365 78252135 113565919 159319095 340697757 567829595 1476356947 1703488785 4429070841 7381784735 22145354205