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114922496 = 210138997
BaseRepresentation
bin1101101100110…
…01010000000000
322000020200000202
412312121100000
5213410004441
615223104332
72563553003
oct666312000
9260220022
10114922496
1159963a77
12325a20a8
131aa69aa0
141139753a
15a15119b
hex6d99400

114922496 has 88 divisors (see below), whose sum is σ = 252763560. Its totient is φ = 51904512.

The previous prime is 114922471. The next prime is 114922523. The reversal of 114922496 is 694229411.

It can be written as a sum of positive squares in 4 ways, for example, as 4096 + 114918400 = 64^2 + 10720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1184720 + ... + 1184816.

Almost surely, 2114922496 is an apocalyptic number.

114922496 is a gapful number since it is divisible by the number (16) 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 114922496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126381780).

114922496 is an abundant number, since it is smaller than the sum of its proper divisors (137841064).

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

114922496 is an equidigital number, since it uses as much as digits as its factorization.

114922496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 114922496 is about 10720.1910430738. The cubic root of 114922496 is about 486.1851428708.

The spelling of 114922496 in words is "one hundred fourteen million, nine hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 97 104 128 178 194 208 256 356 388 416 512 712 776 832 1024 1157 1261 1424 1552 1664 2314 2522 2848 3104 3328 4628 5044 5696 6208 6656 8633 9256 10088 11392 12416 13312 17266 18512 20176 22784 24832 34532 37024 40352 45568 49664 69064 74048 80704 91136 99328 112229 138128 148096 161408 224458 276256 296192 322816 448916 552512 592384 645632 897832 1105024 1184768 1291264 1795664 2210048 3591328 4420096 7182656 8840192 14365312 28730624 57461248 114922496