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114169224 = 233131372671
BaseRepresentation
bin1101100111000…
…01010110001000
321221211101201210
412303201112020
5213211403344
615155013120
72554264611
oct663412610
9257741653
10114169224
115949a034
123229a1a0
131a864c70
141123cc08
15a052db9
hex6ce1588

114169224 has 64 divisors (see below), whose sum is σ = 309738240. Its totient is φ = 34859520.

The previous prime is 114169219. The next prime is 114169267. The reversal of 114169224 is 422961411.

It is a Cunningham number, because it is equal to 106852-1.

It is a super-2 number, since 2×1141692242 = 26069223417524352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114169191 and 114169200.

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, 41409 + ... + 44079.

It is an arithmetic number, because the mean of its divisors is an integer number (4839660).

Almost surely, 2114169224 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 114169224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154869120).

114169224 is an abundant number, since it is smaller than the sum of its proper divisors (195569016).

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

114169224 is a wasteful number, since it uses less digits than its factorization.

114169224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2826 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 114169224 is about 10684.9999532054. Note that the first 4 decimals coincide. The cubic root of 114169224 is about 485.1205623685.

The spelling of 114169224 in words is "one hundred fourteen million, one hundred sixty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 2671 3288 3562 5342 5343 7124 8013 10684 10686 14248 16026 21368 21372 32052 34723 42744 64104 69446 104169 138892 208338 277784 365927 416676 731854 833352 1097781 1463708 2195562 2927416 4391124 4757051 8782248 9514102 14271153 19028204 28542306 38056408 57084612 114169224