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2296460920 = 235137162201
BaseRepresentation
bin1000100011100001…
…0011011001111000
312221001012022011011
42020320103121320
514200343222140
61015513043304
7110623411225
oct21070233170
95831168134
102296460920
11a79324096
125410b6534
132a7a06320
1417adca94c
15d6922cea
hex88e13678

2296460920 has 64 divisors (see below), whose sum is σ = 5642965440. Its totient is φ = 835968000.

The previous prime is 2296460917. The next prime is 2296460927. The reversal of 2296460920 is 290646922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296460927) 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, 5820 + ... + 68020.

It is an arithmetic number, because the mean of its divisors is an integer number (88171335).

Almost surely, 22296460920 is an apocalyptic number.

2296460920 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 2296460920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821482720).

2296460920 is an abundant number, since it is smaller than the sum of its proper divisors (3346504520).

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

2296460920 is a wasteful number, since it uses less digits than its factorization.

2296460920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62296 (or 62292 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2296460920 is about 47921.4035687604. The cubic root of 2296460920 is about 1319.3287297045.

The spelling of 2296460920 in words is "two billion, two hundred ninety-six million, four hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 4615 7384 9230 18460 36920 62201 124402 248804 311005 497608 622010 808613 1244020 1617226 2488040 3234452 4043065 4416271 6468904 8086130 8832542 16172260 17665084 22081355 32344520 35330168 44162710 57411523 88325420 114823046 176650840 229646092 287057615 459292184 574115230 1148230460 2296460920