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114204402 = 2321317191511
BaseRepresentation
bin1101100111010…
…01111011110010
321221220011222200
412303221323302
5213214020102
615155444030
72554502304
oct663517362
9257804880
10114204402
1159513504
12322b6616
131a877c90
141124b974
15a05d51c
hex6ce9ef2

114204402 has 96 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 31311360.

The previous prime is 114204397. The next prime is 114204427. The reversal of 114204402 is 204402411.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74827 + ... + 76337.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2114204402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114204402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

114204402 is an abundant number, since it is smaller than the sum of its proper divisors (182994318).

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

114204402 is a wasteful number, since it uses less digits than its factorization.

114204402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114204402 is about 10686.6459658772. The cubic root of 114204402 is about 485.1703826210.

Adding to 114204402 its reverse (204402411), we get a palindrome (318606813).

The spelling of 114204402 in words is "one hundred fourteen million, two hundred four thousand, four hundred two".

Divisors: 1 2 3 6 9 13 17 18 19 26 34 38 39 51 57 78 102 114 117 153 171 221 234 247 306 323 342 442 494 646 663 741 969 1326 1482 1511 1938 1989 2223 2907 3022 3978 4199 4446 4533 5814 8398 9066 12597 13599 19643 25194 25687 27198 28709 37791 39286 51374 57418 58929 75582 77061 86127 117858 154122 172254 176787 231183 258381 333931 353574 373217 462366 488053 516762 667862 746434 976106 1001793 1119651 1464159 2003586 2239302 2928318 3005379 3358953 4392477 6010758 6344689 6717906 8784954 12689378 19034067 38068134 57102201 114204402