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226252560 = 2435942719
BaseRepresentation
bin11010111110001…
…01011100010000
3120202201211011110
431133011130100
5430410040220
634241213320
75415054312
oct1537053420
9522654143
10226252560
11106793996
1263931240
1337b49671
14220977b2
1514ce2be0
hexd7c5710

226252560 has 40 divisors (see below), whose sum is σ = 701383680. Its totient is φ = 60333952.

The previous prime is 226252517. The next prime is 226252561. The reversal of 226252560 is 65252622.

226252560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (226252561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 471120 + ... + 471599.

It is an arithmetic number, because the mean of its divisors is an integer number (17534592).

Almost surely, 2226252560 is an apocalyptic number.

226252560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

226252560 is an abundant number, since it is smaller than the sum of its proper divisors (475131120).

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

226252560 is a wasteful number, since it uses less digits than its factorization.

226252560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942735 (or 942729 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 226252560 is about 15041.6940535300. The cubic root of 226252560 is about 609.3467520897.

The spelling of 226252560 in words is "two hundred twenty-six million, two hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 942719 1885438 2828157 3770876 4713595 5656314 7541752 9427190 11312628 14140785 15083504 18854380 22625256 28281570 37708760 45250512 56563140 75417520 113126280 226252560