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228523374 = 23219691967
BaseRepresentation
bin11011001111011…
…11110101101110
3120221000012010200
431213233311232
5432000221444
634402014330
75443262622
oct1547576556
9527005120
10228523374
11107aa4aa2
12646473a6
1338463141
14224c9182
15150e0969
hexd9efd6e

228523374 has 48 divisors (see below), whose sum is σ = 522487680. Its totient is φ = 71986320.

The previous prime is 228523363. The next prime is 228523409. The reversal of 228523374 is 473325822.

228523374 is a `hidden beast` number, since 2 + 285 + 2 + 3 + 374 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235839 + ... + 236805.

It is an arithmetic number, because the mean of its divisors is an integer number (10885160).

Almost surely, 2228523374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228523374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261243840).

228523374 is an abundant number, since it is smaller than the sum of its proper divisors (293964306).

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

228523374 is a wasteful number, since it uses less digits than its factorization.

228523374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1682 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 228523374 is about 15116.9895812625. The cubic root of 228523374 is about 611.3785663045.

The spelling of 228523374 in words is "two hundred twenty-eight million, five hundred twenty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 691 967 1382 1934 2073 2901 4146 5802 6219 8703 12438 13129 17406 18373 26258 36746 39387 55119 78774 110238 118161 165357 236322 330714 668197 1336394 2004591 4009182 6013773 12027546 12695743 25391486 38087229 76174458 114261687 228523374