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114230052 = 2232192353137
BaseRepresentation
bin1101100111100…
…00001100100100
321221221111011200
412303300030210
5213220330202
615200202500
72554640136
oct663601444
9257844150
10114230052
1159530802
1232309430
131a886861
1411257056
15a065e1c
hex6cf0324

114230052 has 144 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 33606144.

The previous prime is 114230027. The next prime is 114230057. The reversal of 114230052 is 250032411.

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

It is not an unprimeable number, because it can be changed into a prime (114230057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833728 + ... + 833864.

It is an arithmetic number, because the mean of its divisors is an integer number (2260440).

Almost surely, 2114230052 is an apocalyptic number.

114230052 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 114230052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

114230052 is an abundant number, since it is smaller than the sum of its proper divisors (211273308).

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

114230052 is a wasteful number, since it uses less digits than its factorization.

114230052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 114230052 is about 10687.8459943994. The cubic root of 114230052 is about 485.2067025542.

Adding to 114230052 its reverse (250032411), we get a palindrome (364262463).

The spelling of 114230052 in words is "one hundred fourteen million, two hundred thirty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 53 57 69 76 92 106 114 137 138 159 171 207 212 228 274 276 318 342 411 414 437 477 548 636 684 822 828 874 954 1007 1219 1233 1311 1644 1748 1908 2014 2438 2466 2603 2622 3021 3151 3657 3933 4028 4876 4932 5206 5244 6042 6302 7261 7314 7809 7866 9063 9453 10412 10971 12084 12604 14522 14628 15618 15732 18126 18906 21783 21942 23161 23427 28359 29044 31236 36252 37812 43566 43884 46322 46854 56718 59869 65349 69483 87132 92644 93708 113436 119738 130698 137959 138966 167003 179607 208449 239476 261396 275918 277932 334006 359214 413877 416898 501009 538821 551836 668012 718428 827754 833796 1002018 1077642 1241631 1503027 1655508 2004036 2155284 2483262 3006054 3173057 4966524 6012108 6346114 9519171 12692228 19038342 28557513 38076684 57115026 114230052