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114210252 = 223213733343
BaseRepresentation
bin1101100111010…
…11010111001100
321221220111000100
412303223113030
5213214212002
615155531100
72554525332
oct663532714
9257814010
10114210252
1159517942
12322b9a90
131a87a840
141124db52
15a06011c
hex6ceb5cc

114210252 has 72 divisors (see below), whose sum is σ = 315258944. Its totient is φ = 34649856.

The previous prime is 114210247. The next prime is 114210269. The reversal of 114210252 is 252012411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32493 + ... + 35835.

Almost surely, 2114210252 is an apocalyptic number.

114210252 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 114210252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157629472).

114210252 is an abundant number, since it is smaller than the sum of its proper divisors (201048692).

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

114210252 is a wasteful number, since it uses less digits than its factorization.

114210252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114210252 is about 10686.9196684545. The cubic root of 114210252 is about 485.1786665932.

Adding to 114210252 its reverse (252012411), we get a palindrome (366222663).

The spelling of 114210252 in words is "one hundred fourteen million, two hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1898 2628 2847 3343 3796 5694 6686 8541 10029 11388 13372 17082 20058 30087 34164 40116 43459 60174 86918 120348 130377 173836 244039 260754 391131 488078 521508 732117 782262 976156 1464234 1564524 2196351 2928468 3172507 4392702 6345014 8785404 9517521 12690028 19035042 28552563 38070084 57105126 114210252