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114232260 = 22352325961
BaseRepresentation
bin1101100111100…
…00101111000100
321221221121012110
412303300233010
5213220413020
615200221020
72554646442
oct663605704
9257847173
10114232260
115953242a
123230a770
131a88786c
1411257b92
15a0668e0
hex6cf0bc4

114232260 has 144 divisors (see below), whose sum is σ = 345602880. Its totient is φ = 28174080.

The previous prime is 114232259. The next prime is 114232289. The reversal of 114232260 is 62232411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1872630 + ... + 1872690.

It is an arithmetic number, because the mean of its divisors is an integer number (2400020).

Almost surely, 2114232260 is an apocalyptic number.

114232260 is a gapful number since it is divisible by the number (10) 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 114232260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172801440).

114232260 is an abundant number, since it is smaller than the sum of its proper divisors (231370620).

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

114232260 is a wasteful number, since it uses less digits than its factorization.

114232260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114232260 is about 10687.9492888019. The cubic root of 114232260 is about 485.2098287878.

Adding to 114232260 its reverse (62232411), we get a palindrome (176464671).

The spelling of 114232260 in words is "one hundred fourteen million, two hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 59 60 61 69 92 115 118 122 138 177 183 230 236 244 276 295 305 345 354 366 460 529 590 610 690 708 732 885 915 1058 1180 1220 1357 1380 1403 1587 1770 1830 2116 2645 2714 2806 3174 3540 3599 3660 4071 4209 5290 5428 5612 6348 6785 7015 7198 7935 8142 8418 10580 10797 13570 14030 14396 15870 16284 16836 17995 20355 21045 21594 27140 28060 31211 31740 32269 35990 40710 42090 43188 53985 62422 64538 71980 81420 82777 84180 93633 96807 107970 124844 129076 156055 161345 165554 187266 193614 215940 248331 312110 322690 331108 374532 387228 413885 468165 484035 496662 624220 645380 827770 936330 968070 993324 1241655 1655540 1872660 1903871 1936140 2483310 3807742 4966620 5711613 7615484 9519355 11423226 19038710 22846452 28558065 38077420 57116130 114232260