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225230520 = 23358921089
BaseRepresentation
bin11010110110010…
…11111010111000
3120200210220012010
431123023322320
5430124334040
634203245520
75403266514
oct1533137270
9520726163
10225230520
11106156029
12635198a0
133787c3c8
1421cad144
1514b8ee80
hexd6cbeb8

225230520 has 64 divisors (see below), whose sum is σ = 683316000. Its totient is φ = 59383808.

The previous prime is 225230471. The next prime is 225230557. The reversal of 225230520 is 25032522.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 136 + ... + 21224.

Almost surely, 2225230520 is an apocalyptic number.

225230520 is a gapful number since it is divisible by the number (20) 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 225230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341658000).

225230520 is an abundant number, since it is smaller than the sum of its proper divisors (458085480).

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

225230520 is a wasteful number, since it uses less digits than its factorization.

225230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21192 (or 21188 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 225230520 is about 15007.6820328790. The cubic root of 225230520 is about 608.4278426172.

The spelling of 225230520 in words is "two hundred twenty-five million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 21089 42178 63267 84356 105445 126534 168712 210890 253068 316335 421780 506136 632670 843560 1265340 1876921 2530680 3753842 5630763 7507684 9384605 11261526 15015368 18769210 22523052 28153815 37538420 45046104 56307630 75076840 112615260 225230520