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2253019860 = 22345713172931
BaseRepresentation
bin1000011001001010…
…0101101011010100
312211000110021020000
42012102211223110
514103233113420
61011322011300
7106555232010
oct20622455324
95730407200
102253019860
11a56853193
1252a646b30
1329ba06460
1417531d540
15d2be1690
hex864a5ad4

2253019860 has 960 divisors, whose sum is σ = 9835499520. Its totient is φ = 418037760.

The previous prime is 2253019859. The next prime is 2253019919. The reversal of 2253019860 is 689103522.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 72678045 + ... + 72678075.

It is an arithmetic number, because the mean of its divisors is an integer number (10245312).

Almost surely, 22253019860 is an apocalyptic number.

2253019860 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 2253019860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917749760).

2253019860 is an abundant number, since it is smaller than the sum of its proper divisors (7582479660).

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

2253019860 is a wasteful number, since it uses less digits than its factorization.

2253019860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2253019860 is about 47465.9863481209. The cubic root of 2253019860 is about 1310.9566774011.

The spelling of 2253019860 in words is "two billion, two hundred fifty-three million, nineteen thousand, eight hundred sixty".