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150597000224 = 251117139917989
BaseRepresentation
bin1000110001000001000…
…1111101110000100000
3112101201100211021012222
42030100101331300200
54431410313001344
6153103332210212
713610635244456
oct2142021756040
9471640737188
10150597000224
1158960098270
122522a769968
1311280167828
147408b969d6
153db62085ee
hex231047dc20

150597000224 has 96 divisors (see below), whose sum is σ = 342731088000. Its totient is φ = 64376893440.

The previous prime is 150597000199. The next prime is 150597000277. The reversal of 150597000224 is 422000795051.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8362622 + ... + 8380610.

It is an arithmetic number, because the mean of its divisors is an integer number (3570115500).

Almost surely, 2150597000224 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 150597000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171365544000).

150597000224 is an abundant number, since it is smaller than the sum of its proper divisors (192134087776).

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

150597000224 is a wasteful number, since it uses less digits than its factorization.

150597000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19426 (or 19418 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

Adding to 150597000224 its reverse (422000795051), we get a palindrome (572597795275).

The spelling of 150597000224 in words is "one hundred fifty billion, five hundred ninety-seven million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1399 1496 2798 2992 5596 5984 11192 15389 17989 22384 23783 30778 35978 44768 47566 61556 71956 95132 123112 143912 190264 197879 246224 261613 287824 305813 380528 395758 492448 523226 575648 611626 761056 791516 1046452 1223252 1583032 2092904 2446504 3166064 3363943 4185808 4893008 6332128 6727886 8371616 9786016 13455772 25166611 26911544 50333222 53823088 100666444 107646176 201332888 276832721 402665776 427832387 553665442 805331552 855664774 1107330884 1711329548 2214661768 3422659096 4429323536 4706156257 6845318192 8858647072 9412312514 13690636384 18824625028 37649250056 75298500112 150597000224