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151334232 = 23378310853
BaseRepresentation
bin10010000010100…
…10110101011000
3101112202120112120
421001102311120
5302220143412
623003341240
73515214450
oct1101226530
9345676476
10151334232
1178473715
1242821820
13254782aa
1416154d60
15d444b8c
hex9052d58

151334232 has 64 divisors (see below), whose sum is σ = 437633280. Its totient is φ = 42713472.

The previous prime is 151334203. The next prime is 151334251. The reversal of 151334232 is 232433151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8518 + ... + 19370.

It is an arithmetic number, because the mean of its divisors is an integer number (6838020).

Almost surely, 2151334232 is an apocalyptic number.

151334232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151334232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218816640).

151334232 is an abundant number, since it is smaller than the sum of its proper divisors (286299048).

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

151334232 is a wasteful number, since it uses less digits than its factorization.

151334232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10952 (or 10948 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 151334232 is about 12301.7979173778. The cubic root of 151334232 is about 532.9000067035.

Adding to 151334232 its reverse (232433151), we get a palindrome (383767383).

The spelling of 151334232 in words is "one hundred fifty-one million, three hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 498 581 664 996 1162 1743 1992 2324 3486 4648 6972 10853 13944 21706 32559 43412 65118 75971 86824 130236 151942 227913 260472 303884 455826 607768 900799 911652 1801598 1823304 2702397 3603196 5404794 6305593 7206392 10809588 12611186 18916779 21619176 25222372 37833558 50444744 75667116 151334232