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2260721232 = 243373111973
BaseRepresentation
bin1000011010111111…
…1101111001010000
312211112221112112000
42012233331321100
514112221034412
61012155034000
7110010546000
oct20657757120
95745845460
102260721232
11a60133360
1253113b900
132a04a1993
14176366000
15d37134dc
hex86bfde50

2260721232 has 640 divisors, whose sum is σ = 8808960000. Its totient is φ = 548674560.

The previous prime is 2260721189. The next prime is 2260721233. The reversal of 2260721232 is 2321270622.

2260721232 is a `hidden beast` number, since 2 + 2 + 607 + 21 + 2 + 32 = 666.

It is a super-2 number, since 2×22607212322 = 10221720977631195648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2260721196 and 2260721205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2260721233) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30968748 + ... + 30968820.

It is an arithmetic number, because the mean of its divisors is an integer number (13764000).

Almost surely, 22260721232 is an apocalyptic number.

2260721232 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 2260721232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4404480000).

2260721232 is an abundant number, since it is smaller than the sum of its proper divisors (6548238768).

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

2260721232 is a wasteful number, since it uses less digits than its factorization.

2260721232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2260721232 is about 47547.0423054894. The cubic root of 2260721232 is about 1312.4487019951.

Adding to 2260721232 its reverse (2321270622), we get a palindrome (4581991854).

The spelling of 2260721232 in words is "two billion, two hundred sixty million, seven hundred twenty-one thousand, two hundred thirty-two".