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145622664 = 233311167367
BaseRepresentation
bin10001010111000…
…00011010001000
3101011000101202000
420223200122020
5244234411124
622241111000
73415525605
oct1053403210
9334011660
10145622664
1175222510
1240928460
1324228675
14154a96ac
15cbb76c9
hex8ae0688

145622664 has 128 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 43744320.

The previous prime is 145622657. The next prime is 145622689. The reversal of 145622664 is 466226541.

145622664 is a `hidden beast` number, since 14 + 562 + 26 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396609 + ... + 396975.

It is an arithmetic number, because the mean of its divisors is an integer number (3477600).

Almost surely, 2145622664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145622664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

145622664 is an abundant number, since it is smaller than the sum of its proper divisors (299510136).

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

145622664 is a wasteful number, since it uses less digits than its factorization.

145622664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 145622664 is about 12067.4215970107. The cubic root of 145622664 is about 526.1097179886.

The spelling of 145622664 in words is "one hundred forty-five million, six hundred twenty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 167 198 216 264 297 334 367 396 501 594 668 734 792 1002 1101 1188 1336 1468 1503 1837 2004 2202 2376 2936 3006 3303 3674 4008 4037 4404 4509 5511 6012 6606 7348 8074 8808 9018 9909 11022 12024 12111 13212 14696 16148 16533 18036 19818 22044 24222 26424 32296 33066 36072 36333 39636 44088 48444 49599 61289 66132 72666 79272 96888 99198 108999 122578 132264 145332 183867 198396 217998 245156 290664 367734 396792 435996 490312 551601 674179 735468 871992 1103202 1348358 1470936 1654803 2022537 2206404 2696716 3309606 4045074 4412808 5393432 6067611 6619212 8090148 12135222 13238424 16180296 18202833 24270444 36405666 48540888 72811332 145622664