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114228252 = 22338312743
BaseRepresentation
bin1101100111011…
…11110000011100
321221221101201000
412303233300130
5213220301002
615200150300
72554631655
oct663576034
9257841630
10114228252
115952a416
1232308390
131a885aa8
141125652c
15a06561c
hex6cefc1c

114228252 has 48 divisors (see below), whose sum is σ = 299738880. Its totient is φ = 37614384.

The previous prime is 114228229. The next prime is 114228277. The reversal of 114228252 is 252822411.

114228252 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

114228252 is strictly pandigital in base 9.

It is a congruent number.

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, 2593 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (6244560).

Almost surely, 2114228252 is an apocalyptic number.

114228252 is a gapful number since it is divisible by the number (12) 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 114228252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149869440).

114228252 is an abundant number, since it is smaller than the sum of its proper divisors (185510628).

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

114228252 is a wasteful number, since it uses less digits than its factorization.

114228252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12839 (or 12831 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 114228252 is about 10687.7617862675. The cubic root of 114228252 is about 485.2041539643.

The spelling of 114228252 in words is "one hundred fourteen million, two hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 83 108 166 249 332 498 747 996 1494 2241 2988 4482 8964 12743 25486 38229 50972 76458 114687 152916 229374 344061 458748 688122 1057669 1376244 2115338 3173007 4230676 6346014 9519021 12692028 19038042 28557063 38076084 57114126 114228252