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2232888960 = 27357389179
BaseRepresentation
bin1000010100010111…
…0010111010000000
312202121120111211010
42011011302322000
514033104421320
61005322320520
7106222146231
oct20505627200
95677514733
102232888960
11a46453585
12523959140
132977a8593
1417279d088
15d1066ae0
hex85172e80

2232888960 has 256 divisors, whose sum is σ = 7336656000. Its totient is φ = 577437696.

The previous prime is 2232888923. The next prime is 2232888979. The reversal of 2232888960 is 698882322.

It is a super-3 number, since 3×22328889603 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 12474151 + ... + 12474329.

Almost surely, 22232888960 is an apocalyptic number.

2232888960 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 2232888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3668328000).

2232888960 is an abundant number, since it is smaller than the sum of its proper divisors (5103767040).

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

2232888960 is a wasteful number, since it uses less digits than its factorization.

2232888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 2232888960 is about 47253.4544768951. The cubic root of 2232888960 is about 1307.0404918664.

The spelling of 2232888960 in words is "two billion, two hundred thirty-two million, eight hundred eighty-eight thousand, nine hundred sixty".