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145922931 = 33721137271
BaseRepresentation
bin10001011001010…
…01101101110011
3101011120122122000
420230221231303
5244324013211
622251345043
73421216200
oct1054515563
9334518560
10145922931
1175408070
1240a52183
132430223b
1415546ca7
15cc26656
hex8b29b73

145922931 has 96 divisors (see below), whose sum is σ = 282792960. Its totient is φ = 73483200.

The previous prime is 145922929. The next prime is 145922957. The reversal of 145922931 is 139229541.

145922931 is a `hidden beast` number, since 14 + 592 + 29 + 31 = 666.

It is not a de Polignac number, because 145922931 - 21 = 145922929 is a prime.

It is a super-2 number, since 2×1459229312 = 42587003583261522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145922911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 538326 + ... + 538596.

It is an arithmetic number, because the mean of its divisors is an integer number (2945760).

Almost surely, 2145922931 is an apocalyptic number.

145922931 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145922931 is a deficient number, since it is larger than the sum of its proper divisors (136870029).

145922931 is a wasteful number, since it uses less digits than its factorization.

145922931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 145922931 is about 12079.8564147096. The cubic root of 145922931 is about 526.4710741326.

The spelling of 145922931 in words is "one hundred forty-five million, nine hundred twenty-two thousand, nine hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 37 49 63 77 99 111 147 189 231 259 271 297 333 407 441 539 693 777 813 999 1221 1323 1617 1813 1897 2079 2331 2439 2849 2981 3663 4851 5439 5691 6993 7317 8547 8943 10027 10989 13279 14553 16317 17073 19943 20867 25641 26829 30081 39837 48951 51219 59829 62601 70189 76923 80487 90243 110297 119511 146069 179487 187803 210567 270729 330891 358533 438207 491323 538461 563409 631701 772079 992673 1314621 1473969 1895103 2316237 2978019 3943863 4421907 5404553 6948711 13265721 16213659 20846133 48640977 145922931