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2252072560 = 24531389939
BaseRepresentation
bin1000011000111011…
…1110011001110000
312210221200010202211
42012032332121300
514103012310220
61011245421504
7106544205133
oct20616763160
95727603684
102252072560
11a562664a1
1252a26a894
1329b76421a
1417515421a
15d2aa5b5a
hex863be670

2252072560 has 40 divisors (see below), whose sum is σ = 5252855760. Its totient is φ = 897940992.

The previous prime is 2252072551. The next prime is 2252072567. The reversal of 2252072560 is 652702522.

2252072560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252072567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19930 + ... + 70009.

It is an arithmetic number, because the mean of its divisors is an integer number (131321394).

Almost surely, 22252072560 is an apocalyptic number.

2252072560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252072560 is an abundant number, since it is smaller than the sum of its proper divisors (3000783200).

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

2252072560 is a wasteful number, since it uses less digits than its factorization.

2252072560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90265 (or 90259 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 2252072560 is about 47456.0065745107. The cubic root of 2252072560 is about 1310.7729176135.

The spelling of 2252072560 in words is "two billion, two hundred fifty-two million, seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 313 626 1252 1565 2504 3130 5008 6260 12520 25040 89939 179878 359756 449695 719512 899390 1439024 1798780 3597560 7195120 28150907 56301814 112603628 140754535 225207256 281509070 450414512 563018140 1126036280 2252072560