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225472020 = 223517213003
BaseRepresentation
bin11010111000001…
…10111000010100
3120201021011110120
431130012320110
5430210101040
634212351540
75405323554
oct1534067024
9521234416
10225472020
11106300514
12636155b0
13379352c7
1421d33164
1514bdb7d0
hexd706e14

225472020 has 72 divisors (see below), whose sum is σ = 670694304. Its totient is φ = 56584704.

The previous prime is 225472007. The next prime is 225472033. The reversal of 225472020 is 20274522.

It is an interprime number because it is at equal distance from previous prime (225472007) and next prime (225472033).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10839 + ... + 23841.

Almost surely, 2225472020 is an apocalyptic number.

225472020 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 225472020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335347152).

225472020 is an abundant number, since it is smaller than the sum of its proper divisors (445222284).

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

225472020 is a wasteful number, since it uses less digits than its factorization.

225472020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13030 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 225472020 is about 15015.7257566859. The cubic root of 225472020 is about 608.6452241084.

The spelling of 225472020 in words is "two hundred twenty-five million, four hundred seventy-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 13003 17340 26006 39009 52012 65015 78018 130030 156036 195045 221051 260060 390090 442102 663153 780180 884204 1105255 1326306 2210510 2652612 3315765 3757867 4421020 6631530 7515734 11273601 13263060 15031468 18789335 22547202 37578670 45094404 56368005 75157340 112736010 225472020