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2232715968 = 2633733767
BaseRepresentation
bin1000010100010100…
…1000101011000000
312202121020201112000
42011011020223000
514033033402333
61005314504000
7106220526000
oct20505105300
95677221460
102232715968
11a4634560a
12523895000
13297747912
14172756000
15d1030713
hex85148ac0

2232715968 has 224 divisors, whose sum is σ = 7656576000. Its totient is φ = 637749504.

The previous prime is 2232715957. The next prime is 2232715987. The reversal of 2232715968 is 8695172322.

2232715968 is a `hidden beast` number, since 22 + 32 + 7 + 1 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×22327159683 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590821 + ... + 594587.

Almost surely, 22232715968 is an apocalyptic number.

2232715968 is a gapful number since it is divisible by the number (28) 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 2232715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828288000).

2232715968 is an abundant number, since it is smaller than the sum of its proper divisors (5423860032).

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

2232715968 is an equidigital number, since it uses as much as digits as its factorization.

2232715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3779 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2232715968 is about 47251.6239720922. The cubic root of 2232715968 is about 1307.0067368832.

The spelling of 2232715968 in words is "two billion, two hundred thirty-two million, seven hundred fifteen thousand, nine hundred sixty-eight".