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114260224 = 2813219139
BaseRepresentation
bin1101100111101…
…11100100000000
321222000000120011
412303313210000
5213222311344
615200554304
72555124121
oct663674400
9258000504
10114260224
1159551441
1232322994
131a897500
1411264048
15a06ed34
hex6cf7900

114260224 has 108 divisors (see below), whose sum is σ = 261836400. Its totient is φ = 49600512.

The previous prime is 114260221. The next prime is 114260239. The reversal of 114260224 is 422062411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114260195 and 114260204.

It is not an unprimeable number, because it can be changed into a prime (114260221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 821947 + ... + 822085.

Almost surely, 2114260224 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 114260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130918200).

114260224 is an abundant number, since it is smaller than the sum of its proper divisors (147576176).

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

114260224 is a wasteful number, since it uses less digits than its factorization.

114260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 114260224 is about 10689.2574110646. The cubic root of 114260224 is about 485.2494185985.

The spelling of 114260224 in words is "one hundred fourteen million, two hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 139 152 169 208 247 256 278 304 338 416 494 556 608 676 832 988 1112 1216 1352 1664 1807 1976 2224 2432 2641 2704 3211 3328 3614 3952 4448 4864 5282 5408 6422 7228 7904 8896 10564 10816 12844 14456 15808 17792 21128 21632 23491 25688 28912 31616 34333 35584 42256 43264 46982 51376 57824 63232 68666 84512 93964 102752 115648 137332 169024 187928 205504 231296 274664 338048 375856 411008 446329 462592 549328 676096 751712 822016 892658 1098656 1503424 1785316 2197312 3006848 3570632 4394624 6013696 7141264 8789248 14282528 28565056 57130112 114260224