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225837924 = 2231313710567
BaseRepresentation
bin11010111011000…
…00001101100100
3120201221202101120
431131200031210
5430303303144
634224253540
75411406414
oct1535401544
9521852346
10225837924
11106530414
12637712b0
1337a32a10
1421dca644
1514c5ee19
hexd760364

225837924 has 48 divisors (see below), whose sum is σ = 571686528. Its totient is φ = 68974848.

The previous prime is 225837917. The next prime is 225837947. The reversal of 225837924 is 429738522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16089 + ... + 26655.

It is an arithmetic number, because the mean of its divisors is an integer number (11910136).

Almost surely, 2225837924 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 225837924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285843264).

225837924 is an abundant number, since it is smaller than the sum of its proper divisors (345848604).

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

225837924 is a wasteful number, since it uses less digits than its factorization.

225837924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10724 (or 10722 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 225837924 is about 15027.9048439894. The cubic root of 225837924 is about 608.9742898597.

The spelling of 225837924 in words is "two hundred twenty-five million, eight hundred thirty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 7124 10567 10686 21134 21372 31701 42268 63402 126804 137371 274742 412113 549484 824226 1447679 1648452 2895358 4343037 5790716 8686074 17372148 18819827 37639654 56459481 75279308 112918962 225837924