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114235992 = 233213312127
BaseRepresentation
bin1101100111100…
…01101001011000
321221221210022200
412303301221120
5213221022432
615200250200
72554663353
oct663615130
9257853280
10114235992
1159535212
1232310960
131a889480
141125929a
15a067a7c
hex6cf1a58

114235992 has 144 divisors (see below), whose sum is σ = 346993920. Its totient is φ = 33747840.

The previous prime is 114235951. The next prime is 114236047. The reversal of 114235992 is 299532411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 899433 + ... + 899559.

It is an arithmetic number, because the mean of its divisors is an integer number (2409680).

Almost surely, 2114235992 is an apocalyptic number.

114235992 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 114235992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173496960).

114235992 is an abundant number, since it is smaller than the sum of its proper divisors (232757928).

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

114235992 is a wasteful number, since it uses less digits than its factorization.

114235992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 114235992 is about 10688.1238765276. The cubic root of 114235992 is about 485.2151127107.

The spelling of 114235992 in words is "one hundred fourteen million, two hundred thirty-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 127 156 186 234 248 254 279 312 372 381 403 468 508 558 744 762 806 936 961 1016 1116 1143 1209 1524 1612 1651 1922 2232 2286 2418 2883 3048 3224 3302 3627 3844 3937 4572 4836 4953 5766 6604 7254 7688 7874 8649 9144 9672 9906 11532 11811 12493 13208 14508 14859 15748 17298 19812 23064 23622 24986 29016 29718 31496 34596 35433 37479 39624 47244 49972 51181 59436 69192 70866 74958 94488 99944 102362 112437 118872 122047 141732 149916 153543 204724 224874 244094 283464 299832 307086 366141 409448 449748 460629 488188 614172 732282 899496 921258 976376 1098423 1228344 1464564 1586611 1842516 2196846 2929128 3173222 3685032 4393692 4759833 6346444 8787384 9519666 12692888 14279499 19039332 28558998 38078664 57117996 114235992