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225144744 = 233117691109
BaseRepresentation
bin11010110101101…
…10111110101000
3120200122112112020
431122312332220
5430114112434
634201344440
75402461446
oct1532667650
9520575466
10225144744
111060a7640
1263498120
133784c356
1421c89b96
1514b74849
hexd6b6fa8

225144744 has 64 divisors (see below), whose sum is σ = 615384000. Its totient is φ = 68075520.

The previous prime is 225144739. The next prime is 225144749. The reversal of 225144744 is 447441522.

It is an interprime number because it is at equal distance from previous prime (225144739) and next prime (225144749).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (225144749) by changing a digit.

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, 202462 + ... + 203570.

It is an arithmetic number, because the mean of its divisors is an integer number (9615375).

Almost surely, 2225144744 is an apocalyptic number.

225144744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225144744 is an abundant number, since it is smaller than the sum of its proper divisors (390239256).

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

225144744 is a wasteful number, since it uses less digits than its factorization.

225144744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1894 counting only the distinct ones).

The product of its digits is 35840, while the sum is 33.

The square root of 225144744 is about 15004.8240242930. The cubic root of 225144744 is about 608.3505956362.

The spelling of 225144744 in words is "two hundred twenty-five million, one hundred forty-four thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 769 1109 1538 2218 2307 3076 3327 4436 4614 6152 6654 8459 8872 9228 12199 13308 16918 18456 24398 25377 26616 33836 36597 48796 50754 67672 73194 97592 101508 146388 203016 292776 852821 1705642 2558463 3411284 5116926 6822568 9381031 10233852 18762062 20467704 28143093 37524124 56286186 75048248 112572372 225144744