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114226476 = 223713293607
BaseRepresentation
bin1101100111011…
…11010100101100
321221221022021020
412303233110230
5213220221401
615200134140
72554623540
oct663572454
9257838236
10114226476
1159529051
1232307350
131a885040
1411255a20
15a064d36
hex6cef52c

114226476 has 96 divisors (see below), whose sum is σ = 339440640. Its totient is φ = 29078784.

The previous prime is 114226457. The next prime is 114226493. The reversal of 114226476 is 674622411.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29865 + ... + 33471.

It is an arithmetic number, because the mean of its divisors is an integer number (3535840).

Almost surely, 2114226476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114226476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169720320).

114226476 is an abundant number, since it is smaller than the sum of its proper divisors (225214164).

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

114226476 is a wasteful number, since it uses less digits than its factorization.

114226476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3661 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 114226476 is about 10687.6787002604. The cubic root of 114226476 is about 485.2016393294.

Adding to 114226476 its reverse (674622411), we get a palindrome (788848887).

The spelling of 114226476 in words is "one hundred fourteen million, two hundred twenty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 52 58 78 84 87 91 116 156 174 182 203 273 348 364 377 406 546 609 754 812 1092 1131 1218 1508 2262 2436 2639 3607 4524 5278 7214 7917 10556 10821 14428 15834 21642 25249 31668 43284 46891 50498 75747 93782 100996 104603 140673 151494 187564 209206 281346 302988 313809 328237 418412 562692 627618 656474 732221 984711 1255236 1312948 1359839 1464442 1969422 2196663 2719678 2928884 3938844 4079517 4393326 5439356 8159034 8786652 9518873 16318068 19037746 28556619 38075492 57113238 114226476