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2322051072 = 21231141419
BaseRepresentation
bin1000101001100111…
…1011000000000000
312222211100102020120
42022121323000000
514223421113242
61022225340240
7111354052125
oct21231730000
95884312216
102322051072
11a91812380
12549797680
132b00c6023
1418056c74c
15d8cca1ec
hex8a67b000

2322051072 has 208 divisors, whose sum is σ = 6935483520. Its totient is φ = 684851200.

The previous prime is 2322051037. The next prime is 2322051073. The reversal of 2322051072 is 2701502232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2322051073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5541679 + ... + 5542097.

Almost surely, 22322051072 is an apocalyptic number.

2322051072 is a gapful number since it is divisible by the number (22) 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 2322051072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467741760).

2322051072 is an abundant number, since it is smaller than the sum of its proper divisors (4613432448).

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

2322051072 is a wasteful number, since it uses less digits than its factorization.

2322051072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2322051072 is about 48187.6651436859. The cubic root of 2322051072 is about 1324.2111971912.

The spelling of 2322051072 in words is "two billion, three hundred twenty-two million, fifty-one thousand, seventy-two".