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114088156 = 2271317103179
BaseRepresentation
bin1101100110011…
…01100011011100
321221200021112021
412303031203130
5213201310111
615153145524
72553506350
oct663154334
9257607467
10114088156
1159444136
123225b2a4
131a8370b0
141121b460
15a038d71
hex6ccd8dc

114088156 has 96 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 41831424.

The previous prime is 114088151. The next prime is 114088181. The reversal of 114088156 is 651880411.

It is a happy number.

It is a super-2 number, since 2×1140881562 = 26032214678960672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114088151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 637275 + ... + 637453.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2114088156 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 114088156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

114088156 is an abundant number, since it is smaller than the sum of its proper divisors (150088484).

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

114088156 is a wasteful number, since it uses less digits than its factorization.

114088156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 114088156 is about 10681.2057371815. The cubic root of 114088156 is about 485.0057121940.

It can be divided in two parts, 114088 and 156, that added together give a square (114244 = 3382).

The spelling of 114088156 in words is "one hundred fourteen million, eighty-eight thousand, one hundred fifty-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 103 119 179 182 206 221 238 358 364 412 442 476 716 721 884 1253 1339 1442 1547 1751 2327 2506 2678 2884 3043 3094 3502 4654 5012 5356 6086 6188 7004 9308 9373 12172 12257 16289 18437 18746 21301 22763 24514 32578 36874 37492 39559 42602 45526 49028 65156 73748 79118 85204 91052 129059 158236 159341 239681 258118 276913 313429 318682 479362 516236 553826 626858 637364 958724 1107652 1253716 1677767 2194003 3355534 4074577 4388006 6711068 8149154 8776012 16298308 28522039 57044078 114088156