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114998472 = 233217471999
BaseRepresentation
bin1101101101010…
…11110011001000
322000101112020200
412312223303020
5213414422342
615224452200
72564320341
oct666536310
9260345220
10114998472
1159a06066
123261a060
131aa95544
14113b70c8
15a16894c
hex6dabcc8

114998472 has 96 divisors (see below), whose sum is σ = 336960000. Its totient is φ = 35292672.

The previous prime is 114998467. The next prime is 114998473. The reversal of 114998472 is 274899411.

It is a happy number.

114998472 is a `hidden beast` number, since 11 + 499 + 84 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (114998473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56529 + ... + 58527.

It is an arithmetic number, because the mean of its divisors is an integer number (3510000).

Almost surely, 2114998472 is an apocalyptic number.

114998472 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 114998472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480000).

114998472 is an abundant number, since it is smaller than the sum of its proper divisors (221961528).

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

114998472 is a wasteful number, since it uses less digits than its factorization.

114998472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075 (or 2068 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 114998472 is about 10723.7340511596. The cubic root of 114998472 is about 486.2922593090.

The spelling of 114998472 in words is "one hundred fourteen million, nine hundred ninety-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 47 51 68 72 94 102 136 141 153 188 204 282 306 376 408 423 564 612 799 846 1128 1224 1598 1692 1999 2397 3196 3384 3998 4794 5997 6392 7191 7996 9588 11994 14382 15992 17991 19176 23988 28764 33983 35982 47976 57528 67966 71964 93953 101949 135932 143928 187906 203898 271864 281859 305847 375812 407796 563718 611694 751624 815592 845577 1127436 1223388 1597201 1691154 2254872 2446776 3194402 3382308 4791603 6388804 6764616 9583206 12777608 14374809 19166412 28749618 38332824 57499236 114998472