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145267224 = 23347891447
BaseRepresentation
bin10001010100010…
…01101000011000
3101010100100011120
420222021220120
5244142022344
622225325240
73412515414
oct1052115030
9333310146
10145267224
1174aaa463
1240796820
132413294b
1415415d44
15cb47219
hex8a89a18

145267224 has 64 divisors (see below), whose sum is σ = 375321600. Its totient is φ = 46827264.

The previous prime is 145267211. The next prime is 145267229. The reversal of 145267224 is 422762541.

It is a super-2 number, since 2×1452672242 = 42205132737332352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145267229) 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, 99669 + ... + 101115.

It is an arithmetic number, because the mean of its divisors is an integer number (5864400).

Almost surely, 2145267224 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 145267224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187660800).

145267224 is an abundant number, since it is smaller than the sum of its proper divisors (230054376).

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

145267224 is a wasteful number, since it uses less digits than its factorization.

145267224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 145267224 is about 12052.6853439389. The cubic root of 145267224 is about 525.6813213251.

The spelling of 145267224 in words is "one hundred forty-five million, two hundred sixty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 47 89 94 141 178 188 267 282 356 376 534 564 712 1068 1128 1447 2136 2894 4183 4341 5788 8366 8682 11576 12549 16732 17364 25098 33464 34728 50196 68009 100392 128783 136018 204027 257566 272036 386349 408054 515132 544072 772698 816108 1030264 1545396 1632216 3090792 6052801 12105602 18158403 24211204 36316806 48422408 72633612 145267224