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114506316 = 22326834657
BaseRepresentation
bin1101101001100…
…11101001001100
321222110112010200
412310303221030
5213303200231
615210133500
72560200441
oct664635114
9258415120
10114506316
11596aa321
1232421290
131a952522
14112c99c8
15a0bcbe6
hex6d33a4c

114506316 has 36 divisors (see below), whose sum is σ = 289932552. Its totient is φ = 38104704.

The previous prime is 114506311. The next prime is 114506363. The reversal of 114506316 is 613605411.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1145063162 = 26223392807783712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114506316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114506311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22260 + ... + 26916.

It is an arithmetic number, because the mean of its divisors is an integer number (8053682).

Almost surely, 2114506316 is an apocalyptic number.

It is an amenable number.

114506316 is an abundant number, since it is smaller than the sum of its proper divisors (175426236).

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

114506316 is a wasteful number, since it uses less digits than its factorization.

114506316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114506316 is about 10700.7624027450. The cubic root of 114506316 is about 485.5975431573.

It can be divided in two parts, 11450 and 6316, that added together give a triangular number (17766 = T188).

The spelling of 114506316 in words is "one hundred fourteen million, five hundred six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 683 1366 2049 2732 4098 4657 6147 8196 9314 12294 13971 18628 24588 27942 41913 55884 83826 167652 3180731 6361462 9542193 12722924 19084386 28626579 38168772 57253158 114506316