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2299376640 = 210351131439
BaseRepresentation
bin1000100100001101…
…1011010000000000
312221020200102202210
42021003123100000
514202120023030
61020055342120
7110660243661
oct21103332000
95836612683
102299376640
11a7aa35780
12542081940
132a84b74c2
1417b549368
15d6cebbb0
hex890db400

2299376640 has 352 divisors, whose sum is σ = 8300666880. Its totient is φ = 538214400.

The previous prime is 2299376623. The next prime is 2299376641. The reversal of 2299376640 is 466739922.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2299376640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2299376641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5237541 + ... + 5237979.

It is an arithmetic number, because the mean of its divisors is an integer number (23581440).

Almost surely, 22299376640 is an apocalyptic number.

2299376640 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 2299376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150333440).

2299376640 is an abundant number, since it is smaller than the sum of its proper divisors (6001290240).

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

2299376640 is a wasteful number, since it uses less digits than its factorization.

2299376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 2299376640 is about 47951.8158154621. The cubic root of 2299376640 is about 1319.8868589895.

The spelling of 2299376640 in words is "two billion, two hundred ninety-nine million, three hundred seventy-six thousand, six hundred forty".