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114233232 = 2435383541
BaseRepresentation
bin1101100111100…
…00111110010000
321221221122112110
412303300332100
5213220430412
615200225320
72554652331
oct663607620
9257848473
10114233232
1159533133
123230b240
131a888139
1411258288
15a066d3c
hex6cf0f90

114233232 has 80 divisors (see below), whose sum is σ = 304855488. Its totient is φ = 36840960.

The previous prime is 114233221. The next prime is 114233243. The reversal of 114233232 is 232332411.

It is an interprime number because it is at equal distance from previous prime (114233221) and next prime (114233243).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114233199 and 114233208.

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, 210882 + ... + 211422.

Almost surely, 2114233232 is an apocalyptic number.

114233232 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 114233232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152427744).

114233232 is an abundant number, since it is smaller than the sum of its proper divisors (190622256).

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

114233232 is a wasteful number, since it uses less digits than its factorization.

114233232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 682 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 114233232 is about 10687.9947604778. The cubic root of 114233232 is about 485.2112049975.

Adding to 114233232 its reverse (232332411), we get a palindrome (346565643).

The spelling of 114233232 in words is "one hundred fourteen million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 83 106 159 166 212 249 318 332 424 498 541 636 664 848 996 1082 1272 1328 1623 1992 2164 2544 3246 3984 4328 4399 6492 8656 8798 12984 13197 17596 25968 26394 28673 35192 44903 52788 57346 70384 86019 89806 105576 114692 134709 172038 179612 211152 229384 269418 344076 359224 458768 538836 688152 718448 1077672 1376304 2155344 2379859 4759718 7139577 9519436 14279154 19038872 28558308 38077744 57116616 114233232