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2300497920 = 21232571783
BaseRepresentation
bin1000100100011110…
…1101000000000000
312221022210101212200
42021013231000000
514202411413140
61020135353200
7111002624010
oct21107550000
95838711780
102300497920
11a80631156
12542522800
132a87ba996
1417b75bc40
15d6e6e030
hex891ed000

2300497920 has 312 divisors, whose sum is σ = 9118352256. Its totient is φ = 525533184.

The previous prime is 2300497889. The next prime is 2300497951. The reversal of 2300497920 is 297940032.

It is an interprime number because it is at equal distance from previous prime (2300497889) and next prime (2300497951).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 1289349 + ... + 1291131.

It is an arithmetic number, because the mean of its divisors is an integer number (29225488).

Almost surely, 22300497920 is an apocalyptic number.

2300497920 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 2300497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559176128).

2300497920 is an abundant number, since it is smaller than the sum of its proper divisors (6817854336).

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

2300497920 is a wasteful number, since it uses less digits than its factorization.

2300497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2300497920 is about 47963.5061270546. The cubic root of 2300497920 is about 1320.1013696256.

The spelling of 2300497920 in words is "two billion, three hundred million, four hundred ninety-seven thousand, nine hundred twenty".