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151331352 = 233192347307
BaseRepresentation
bin10010000010100…
…10001000011000
3101112202102120220
421001102020120
5302220100402
623003320040
73515203164
oct1101221030
9345672526
10151331352
1178471537
1242820020
1325476ba3
1416153ca4
15d443dbc
hex9052218

151331352 has 128 divisors (see below), whose sum is σ = 425779200. Its totient is φ = 44592768.

The previous prime is 151331351. The next prime is 151331353. The reversal of 151331352 is 253133151.

It is an interprime number because it is at equal distance from previous prime (151331351) and next prime (151331353).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151331351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492783 + ... + 493089.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2151331352 is an apocalyptic number.

151331352 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 151331352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212889600).

151331352 is an abundant number, since it is smaller than the sum of its proper divisors (274447848).

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

151331352 is a wasteful number, since it uses less digits than its factorization.

151331352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 1350, while the sum is 24.

The square root of 151331352 is about 12301.6808607605. The cubic root of 151331352 is about 532.8966261910.

The spelling of 151331352 in words is "one hundred fifty-one million, three hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 47 57 69 76 92 94 114 138 141 152 184 188 228 276 282 307 376 437 456 552 564 614 874 893 921 1081 1128 1228 1311 1748 1786 1842 2162 2456 2622 2679 3243 3496 3572 3684 4324 5244 5358 5833 6486 7061 7144 7368 8648 10488 10716 11666 12972 14122 14429 17499 20539 21183 21432 23332 25944 28244 28858 34998 41078 42366 43287 46664 56488 57716 61617 69996 82156 84732 86574 115432 123234 134159 139992 164312 169464 173148 246468 268318 274151 331867 346296 402477 492936 536636 548302 663734 804954 822453 995601 1073272 1096604 1327468 1609908 1644906 1991202 2193208 2654936 3219816 3289812 3982404 6305473 6579624 7964808 12610946 18916419 25221892 37832838 50443784 75665676 151331352