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225061872 = 24375911353
BaseRepresentation
bin11010110101000…
…10101111110000
3120200111022211220
431122202233300
5430103434442
634155505040
75401665030
oct1532425760
9520438756
10225061872
11106050352
1263458180
1337820709
1421c678c0
1514b59eec
hexd6a2bf0

225061872 has 80 divisors (see below), whose sum is σ = 675790080. Its totient is φ = 63207936.

The previous prime is 225061867. The next prime is 225061873. The reversal of 225061872 is 278160522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225061873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14148 + ... + 25500.

It is an arithmetic number, because the mean of its divisors is an integer number (8447376).

Almost surely, 2225061872 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 225061872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337895040).

225061872 is an abundant number, since it is smaller than the sum of its proper divisors (450728208).

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

225061872 is a wasteful number, since it uses less digits than its factorization.

225061872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11430 (or 11424 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 225061872 is about 15002.0622582364. The cubic root of 225061872 is about 608.2759452630.

The spelling of 225061872 in words is "two hundred twenty-five million, sixty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 11353 19824 22706 34059 45412 68118 79471 90824 136236 158942 181648 238413 272472 317884 476826 544944 635768 669827 953652 1271536 1339654 1907304 2009481 2679308 3814608 4018962 4688789 5358616 8037924 9377578 10717232 14066367 16075848 18755156 28132734 32151696 37510312 56265468 75020624 112530936 225061872