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150564216 = 233115631013
BaseRepresentation
bin10001111100101…
…10110101111000
3101111022110021110
420332112311320
5302021023331
622535040320
73505526505
oct1076266570
9344273243
10150564216
1177a98140
12425100a0
132526896a
1415dd44ac
15d341946
hex8f96d78

150564216 has 64 divisors (see below), whose sum is σ = 411765120. Its totient is φ = 45499520.

The previous prime is 150564173. The next prime is 150564217. The reversal of 150564216 is 612465051.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150564217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148126 + ... + 149138.

It is an arithmetic number, because the mean of its divisors is an integer number (6433830).

Almost surely, 2150564216 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 150564216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205882560).

150564216 is an abundant number, since it is smaller than the sum of its proper divisors (261200904).

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

150564216 is a wasteful number, since it uses less digits than its factorization.

150564216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 150564216 is about 12270.4611160298. The cubic root of 150564216 is about 531.9946387987.

The spelling of 150564216 in words is "one hundred fifty million, five hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 563 1013 1126 1689 2026 2252 3039 3378 4052 4504 6078 6193 6756 8104 11143 12156 12386 13512 18579 22286 24312 24772 33429 37158 44572 49544 66858 74316 89144 133716 148632 267432 570319 1140638 1710957 2281276 3421914 4562552 6273509 6843828 12547018 13687656 18820527 25094036 37641054 50188072 75282108 150564216