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225521440 = 2552361283
BaseRepresentation
bin11010111000100…
…10111100100000
3120201100200020221
431130102330200
5430213141230
634213412424
75405620624
oct1534227440
9521320227
10225521440
11106334661
126363a114
1337951951
1421d47184
1514beb27a
hexd712f20

225521440 has 48 divisors (see below), whose sum is σ = 555968448. Its totient is φ = 86285056.

The previous prime is 225521437. The next prime is 225521447. The reversal of 225521440 is 44125522.

It is not an unprimeable number, because it can be changed into a prime (225521447) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26962 + ... + 34321.

It is an arithmetic number, because the mean of its divisors is an integer number (11582676).

Almost surely, 2225521440 is an apocalyptic number.

225521440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225521440 is an abundant number, since it is smaller than the sum of its proper divisors (330447008).

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

225521440 is a wasteful number, since it uses less digits than its factorization.

225521440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61321 (or 61313 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 225521440 is about 15017.3712746273. The cubic root of 225521440 is about 608.6896894181.

Adding to 225521440 its reverse (44125522), we get a palindrome (269646962).

The spelling of 225521440 in words is "two hundred twenty-five million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 61283 122566 245132 306415 490264 612830 980528 1225660 1409509 1961056 2451320 2819018 4902640 5638036 7047545 9805280 11276072 14095090 22552144 28190180 45104288 56380360 112760720 225521440