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114202110 = 235112711277
BaseRepresentation
bin1101100111010…
…01010111111110
321221220001211210
412303221113332
5213213431420
615155425250
72554462521
oct663512776
9257801753
10114202110
1159511810
12322b5226
131a876c19
141124abb8
15a05c9e0
hex6ce95fe

114202110 has 64 divisors (see below), whose sum is σ = 300340224. Its totient is φ = 27561600.

The previous prime is 114202079. The next prime is 114202117. The reversal of 114202110 is 11202411.

It is a happy number.

It is a super-4 number, since 4×1142021104 (a number of 33 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114202117) 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, 88792 + ... + 90068.

It is an arithmetic number, because the mean of its divisors is an integer number (4692816).

Almost surely, 2114202110 is an apocalyptic number.

114202110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114202110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150170112).

114202110 is an abundant number, since it is smaller than the sum of its proper divisors (186138114).

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

114202110 is a wasteful number, since it uses less digits than its factorization.

114202110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 114202110 is about 10686.5387286998. The cubic root of 114202110 is about 485.1671369260.

Adding to 114202110 its reverse (11202411), we get a palindrome (125404521).

It can be divided in two parts, 11420 and 2110, that added together give a triangular number (13530 = T164).

The spelling of 114202110 in words is "one hundred fourteen million, two hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 271 330 542 813 1277 1355 1626 2554 2710 2981 3831 4065 5962 6385 7662 8130 8943 12770 14047 14905 17886 19155 28094 29810 38310 42141 44715 70235 84282 89430 140470 210705 346067 421410 692134 1038201 1730335 2076402 3460670 3806737 5191005 7613474 10382010 11420211 19033685 22840422 38067370 57101055 114202110