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2321796960 = 25355719449
BaseRepresentation
bin1000101001100011…
…1100111101100000
312222210212111200000
42022120330331200
514223340000320
61022220100000
7111351643230
oct21230747540
95883774600
102321796960
11a9165946a
12549694600
132b0037472
14180503cc0
15d8c79c90
hex8a63cf60

2321796960 has 576 divisors, whose sum is σ = 9906624000. Its totient is φ = 501645312.

The previous prime is 2321796949. The next prime is 2321796973. The reversal of 2321796960 is 696971232.

It is a happy number.

It is a super-2 number, since 2×23217969602 = 10781482246930483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5170816 + ... + 5171264.

It is an arithmetic number, because the mean of its divisors is an integer number (17199000).

Almost surely, 22321796960 is an apocalyptic number.

2321796960 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 2321796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953312000).

2321796960 is an abundant number, since it is smaller than the sum of its proper divisors (7584827040).

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

2321796960 is a wasteful number, since it uses less digits than its factorization.

2321796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 2321796960 is about 48185.0283801929. The cubic root of 2321796960 is about 1324.1628907270.

The spelling of 2321796960 in words is "two billion, three hundred twenty-one million, seven hundred ninety-six thousand, nine hundred sixty".