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114333032 = 23111925961
BaseRepresentation
bin1101101000010…
…01010101101000
321222010201102202
412310021111220
5213232124112
615202315332
72555546312
oct664112550
9258121382
10114333032
11595a1110
1232358b48
131a8c16a8
14112827b2
15a0866c2
hex6d09568

114333032 has 96 divisors (see below), whose sum is σ = 255117600. Its totient is φ = 47606400.

The previous prime is 114333029. The next prime is 114333067. The reversal of 114333032 is 230333411.

It is a junction number, because it is equal to n+sod(n) for n = 114332995 and 114333013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1874282 + ... + 1874342.

It is an arithmetic number, because the mean of its divisors is an integer number (2657475).

Almost surely, 2114333032 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 114333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127558800).

114333032 is an abundant number, since it is smaller than the sum of its proper divisors (140784568).

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

114333032 is a wasteful number, since it uses less digits than its factorization.

114333032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 114333032 is about 10692.6625309134. The cubic root of 114333032 is about 485.3524656515.

Adding to 114333032 its reverse (230333411), we get a palindrome (344666443).

The spelling of 114333032 in words is "one hundred fourteen million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 59 61 76 88 118 122 152 209 236 244 361 418 472 488 649 671 722 836 1121 1159 1298 1342 1444 1672 2242 2318 2596 2684 2888 3599 3971 4484 4636 5192 5368 7198 7942 8968 9272 12331 12749 14396 15884 21299 22021 24662 25498 28792 31768 39589 42598 44042 49324 50996 68381 79178 85196 88084 98648 101992 136762 158356 170392 176168 234289 242231 273524 316712 468578 484462 547048 752191 937156 968924 1299239 1504382 1874312 1937848 2598478 3008764 5196956 6017528 10393912 14291629 28583258 57166516 114333032