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2252722160 = 2451317912101
BaseRepresentation
bin1000011001000101…
…1100111111110000
312210222220010212002
42012101130333300
514103144102120
61011311353132
7106552552043
oct20621347760
95728803762
102252722160
11a5666a557
1252a5227a8
1329b930ac0
14175282c5a
15d2b83375
hex8645cff0

2252722160 has 80 divisors (see below), whose sum is σ = 5672449440. Its totient is φ = 827059200.

The previous prime is 2252722159. The next prime is 2252722181. The reversal of 2252722160 is 612272522.

2252722160 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180110 + ... + 192210.

It is an arithmetic number, because the mean of its divisors is an integer number (70905618).

Almost surely, 22252722160 is an apocalyptic number.

2252722160 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 2252722160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836224720).

2252722160 is an abundant number, since it is smaller than the sum of its proper divisors (3419727280).

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

2252722160 is a wasteful number, since it uses less digits than its factorization.

2252722160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12306 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 2252722160 is about 47462.8503147462. The cubic root of 2252722160 is about 1310.8989343099.

Adding to 2252722160 its reverse (612272522), we get a palindrome (2864994682).

The spelling of 2252722160 in words is "two billion, two hundred fifty-two million, seven hundred twenty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 9308 11635 12101 14320 18616 23270 24202 37232 46540 48404 60505 93080 96808 121010 157313 186160 193616 242020 314626 484040 629252 786565 968080 1258504 1573130 2166079 2517008 3146260 4332158 6292520 8664316 10830395 12585040 17328632 21660790 28159027 34657264 43321580 56318054 86643160 112636108 140795135 173286320 225272216 281590270 450544432 563180540 1126361080 2252722160