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2125700928 = 263313229251
BaseRepresentation
bin111111010110011…
…1001111101000000
312111010212210111000
41332230321331000
513323134412203
6550533052000
7103451105541
oct17654717500
95433783430
102125700928
119a09a262a
124b3a87000
1327b519100
1416245a4c8
15c69424a3
hex7eb39f40

2125700928 has 336 divisors, whose sum is σ = 7028078400. Its totient is φ = 628992000.

The previous prime is 2125700923. The next prime is 2125700933. The reversal of 2125700928 is 8290075212.

It is an interprime number because it is at equal distance from previous prime (2125700923) and next prime (2125700933).

It is a super-2 number, since 2×21257009282 = 9037208870600122368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2125700892 and 2125700901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125700921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8468803 + ... + 8469053.

It is an arithmetic number, because the mean of its divisors is an integer number (20916900).

Almost surely, 22125700928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125700928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514039200).

2125700928 is an abundant number, since it is smaller than the sum of its proper divisors (4902377472).

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

2125700928 is a wasteful number, since it uses less digits than its factorization.

2125700928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2125700928 is about 46105.3242912356. The cubic root of 2125700928 is about 1285.7821353400.

The spelling of 2125700928 in words is "two billion, one hundred twenty-five million, seven hundred thousand, nine hundred twenty-eight".