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2152900944 = 2434171937139
BaseRepresentation
bin1000000001010010…
…1010100101010000
312120001001200220000
42000110222211100
513402120312234
6553344050000
7104231233065
oct20024524520
95501050800
102152900944
11a05290387
12501003900
132840507ac
14165cdac6c
15c9016899
hex8052a950

2152900944 has 400 divisors, whose sum is σ = 7183915200. Its totient is φ = 618098688.

The previous prime is 2152900913. The next prime is 2152901053. The reversal of 2152900944 is 4490092512.

It is a super-2 number, since 2×21529009442 = 9269964949352182272, 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 = 2152900899 and 2152900908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15488427 + ... + 15488565.

It is an arithmetic number, because the mean of its divisors is an integer number (17959788).

Almost surely, 22152900944 is an apocalyptic number.

2152900944 is a gapful number since it is divisible by the number (24) 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 2152900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591957600).

2152900944 is an abundant number, since it is smaller than the sum of its proper divisors (5031014256).

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

2152900944 is a wasteful number, since it uses less digits than its factorization.

2152900944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2152900944 is about 46399.3636163256. The cubic root of 2152900944 is about 1291.2431067269.

The spelling of 2152900944 in words is "two billion, one hundred fifty-two million, nine hundred thousand, nine hundred forty-four".