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114505224 = 23323229311
BaseRepresentation
bin1101101001100…
…11011000001000
321222110110122020
412310303120020
5213303131344
615210124440
72560164321
oct664633010
9258413566
10114505224
11596a9519
1232420720
131a951b92
14112c9448
15a0bc719
hex6d33608

114505224 has 96 divisors (see below), whose sum is σ = 310564800. Its totient is φ = 35136640.

The previous prime is 114505219. The next prime is 114505241. The reversal of 114505224 is 422505411.

It is a super-2 number, since 2×1145052242 = 26222892646580352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 114505194 and 114505203.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368029 + ... + 368339.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 2114505224 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 114505224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155282400).

114505224 is an abundant number, since it is smaller than the sum of its proper divisors (196059576).

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

114505224 is a wasteful number, since it uses less digits than its factorization.

114505224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 114505224 is about 10700.7113782215. The cubic root of 114505224 is about 485.5959995038.

The spelling of 114505224 in words is "one hundred fourteen million, five hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 138 174 184 232 276 311 348 529 552 622 667 696 933 1058 1244 1334 1587 1866 2001 2116 2488 2668 3174 3732 4002 4232 5336 6348 7153 7464 8004 9019 12696 14306 15341 16008 18038 21459 27057 28612 30682 36076 42918 46023 54114 57224 61364 72152 85836 92046 108228 122728 164519 171672 184092 207437 216456 329038 368184 414874 493557 622311 658076 829748 987114 1244622 1316152 1659496 1974228 2489244 3948456 4771051 4978488 9542102 14313153 19084204 28626306 38168408 57252612 114505224