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253472220 = 223353671279
BaseRepresentation
bin11110001101110…
…10110111011100
3122122221201112000
433012322313130
51004342102340
641052442300
76165323031
oct1706726734
9578851460
10253472220
11120095481
1270a79390
1340689c81
1425941388
15173bcd30
hexf1baddc

253472220 has 96 divisors (see below), whose sum is σ = 791347200. Its totient is φ = 67355712.

The previous prime is 253472207. The next prime is 253472239. The reversal of 253472220 is 22274352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197541 + ... + 198819.

It is an arithmetic number, because the mean of its divisors is an integer number (8243200).

Almost surely, 2253472220 is an apocalyptic number.

253472220 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 253472220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395673600).

253472220 is an abundant number, since it is smaller than the sum of its proper divisors (537874980).

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

253472220 is a wasteful number, since it uses less digits than its factorization.

253472220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 253472220 is about 15920.8109089958. The cubic root of 253472220 is about 632.8636079984.

The spelling of 253472220 in words is "two hundred fifty-three million, four hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 367 540 734 1101 1279 1468 1835 2202 2558 3303 3670 3837 4404 5116 5505 6395 6606 7340 7674 9909 11010 11511 12790 13212 15348 16515 19185 19818 22020 23022 25580 33030 34533 38370 39636 46044 49545 57555 66060 69066 76740 99090 115110 138132 172665 198180 230220 345330 469393 690660 938786 1408179 1877572 2346965 2816358 4224537 4693930 5632716 7040895 8449074 9387860 12673611 14081790 16898148 21122685 25347222 28163580 42245370 50694444 63368055 84490740 126736110 253472220