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470226460 = 2251117592131
BaseRepresentation
bin11100000001110…
…001011000011100
31012202210222102211
4130001301120130
51430334221320
6114354330204
714436600424
oct3401613034
91182728384
10470226460
11221481110
12111589964
137655c212
1446645484
152b43655a
hex1c07161c

470226460 has 96 divisors (see below), whose sum is σ = 1160490240. Its totient is φ = 158131200.

The previous prime is 470226433. The next prime is 470226469. The reversal of 470226460 is 64622074.

It is a super-2 number, since 2×4702264602 = 442225847368263200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470226469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219595 + ... + 221725.

It is an arithmetic number, because the mean of its divisors is an integer number (12088440).

Almost surely, 2470226460 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 470226460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580245120).

470226460 is an abundant number, since it is smaller than the sum of its proper divisors (690263780).

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

470226460 is a wasteful number, since it uses less digits than its factorization.

470226460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 470226460 is about 21684.7056701261. The cubic root of 470226460 is about 777.6228635838.

The spelling of 470226460 in words is "four hundred seventy million, two hundred twenty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 170 187 220 236 295 340 374 590 649 748 935 1003 1180 1298 1870 2006 2131 2596 3245 3740 4012 4262 5015 6490 8524 10030 10655 11033 12980 20060 21310 22066 23441 36227 42620 44132 46882 55165 72454 93764 110330 117205 125729 144908 181135 220660 234410 251458 362270 398497 468820 502916 628645 724540 796994 1257290 1383019 1593988 1992485 2137393 2514580 2766038 3984970 4274786 5532076 6915095 7969940 8549572 10686965 13830190 21373930 23511323 27660380 42747860 47022646 94045292 117556615 235113230 470226460