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2156444136 = 23327211181307
BaseRepresentation
bin1000000010001000…
…1011100111101000
312120021201201020100
42000202023213220
513404022203021
6553552025400
7104303321100
oct20042134750
95507651210
102156444136
11a07290440
12502232260
132849c1462
14166580200
15c94b6626
hex8088b9e8

2156444136 has 288 divisors, whose sum is σ = 7476749280. Its totient is φ = 555206400.

The previous prime is 2156444131. The next prime is 2156444207. The reversal of 2156444136 is 6314446512.

2156444136 is a `hidden beast` number, since 2 + 1 + 5 + 644 + 4 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2156444136.

It is not an unprimeable number, because it can be changed into a prime (2156444131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7024095 + ... + 7024401.

It is an arithmetic number, because the mean of its divisors is an integer number (25960935).

Almost surely, 22156444136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156444136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738374640).

2156444136 is an abundant number, since it is smaller than the sum of its proper divisors (5320305144).

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

2156444136 is a wasteful number, since it uses less digits than its factorization.

2156444136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 511 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2156444136 is about 46437.5293916461. The cubic root of 2156444136 is about 1291.9510839759.

The spelling of 2156444136 in words is "two billion, one hundred fifty-six million, four hundred forty-four thousand, one hundred thirty-six".