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226760520 = 23357269953
BaseRepresentation
bin11011000010000…
…01011101001000
3120210200121221210
431201001131020
5431022314040
634300133120
75422301250
oct1541013510
9523617853
10226760520
11107000598
1263b371a0
1337c9692c
142218a960
1514d93480
hexd841748

226760520 has 64 divisors (see below), whose sum is σ = 777467520. Its totient is φ = 51830784.

The previous prime is 226760509. The next prime is 226760587. The reversal of 226760520 is 25067622.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134137 + ... + 135816.

It is an arithmetic number, because the mean of its divisors is an integer number (12147930).

Almost surely, 2226760520 is an apocalyptic number.

226760520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226760520 is an abundant number, since it is smaller than the sum of its proper divisors (550707000).

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

226760520 is a wasteful number, since it uses less digits than its factorization.

226760520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269974 (or 269970 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 226760520 is about 15058.5696531908. The cubic root of 226760520 is about 609.8024263845.

The spelling of 226760520 in words is "two hundred twenty-six million, seven hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 269953 539906 809859 1079812 1349765 1619718 1889671 2159624 2699530 3239436 3779342 4049295 5399060 5669013 6478872 7558684 8098590 9448355 10798120 11338026 15117368 16197180 18896710 22676052 28345065 32394360 37793420 45352104 56690130 75586840 113380260 226760520