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114198132 = 223193713537
BaseRepresentation
bin1101100111010…
…00011001110100
321221212212101110
412303220121310
5213213320012
615155355020
72554445106
oct663503164
9257785343
10114198132
1159509824
12322b2a70
131a875179
1411249576
15a05b73c
hex6ce8674

114198132 has 48 divisors (see below), whose sum is σ = 288088640. Its totient is φ = 35085312.

The previous prime is 114198127. The next prime is 114198137. The reversal of 114198132 is 231891411.

It is an interprime number because it is at equal distance from previous prime (114198127) and next prime (114198137).

It is a self number, because there is not a number n which added to its sum of digits gives 114198132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114198137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668 + ... + 15204.

Almost surely, 2114198132 is an apocalyptic number.

114198132 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 114198132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144044320).

114198132 is an abundant number, since it is smaller than the sum of its proper divisors (173890508).

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

114198132 is a wasteful number, since it uses less digits than its factorization.

114198132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13600 (or 13598 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 114198132 is about 10686.3526050753. The cubic root of 114198132 is about 485.1615035880.

The spelling of 114198132 in words is "one hundred fourteen million, one hundred ninety-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 13537 27074 40611 54148 81222 162444 257203 500869 514406 771609 1001738 1028812 1502607 1543218 2003476 3005214 3086436 6010428 9516511 19033022 28549533 38066044 57099066 114198132