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2337113980 = 225417339043
BaseRepresentation
bin1000101101001101…
…1000011101111100
320000212200200200001
42023103120131330
514241300121410
61023524244044
7111626066245
oct21323303574
96025620601
102337113980
11a9a270363
12552840624
132b326b1a6
1418256dccc
15da2a333a
hex8b4d877c

2337113980 has 48 divisors (see below), whose sum is σ = 5096647584. Its totient is φ = 899527680.

The previous prime is 2337113953. The next prime is 2337113983. The reversal of 2337113980 is 893117332.

It is a super-2 number, since 2×23371139802 = 10924203511022880800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2337113983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40339 + ... + 79381.

It is an arithmetic number, because the mean of its divisors is an integer number (106180158).

Almost surely, 22337113980 is an apocalyptic number.

2337113980 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 2337113980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548323792).

2337113980 is an abundant number, since it is smaller than the sum of its proper divisors (2759533604).

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

2337113980 is a wasteful number, since it uses less digits than its factorization.

2337113980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39166 (or 39164 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 2337113980 is about 48343.7067259018. The cubic root of 2337113980 is about 1327.0683689104.

The spelling of 2337113980 in words is "two billion, three hundred thirty-seven million, one hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 29930 39043 59860 78086 156172 195215 390430 780860 1600763 2850139 3201526 5700278 6403052 8003815 11400556 14250695 16007630 28501390 32015260 57002780 116855699 233711398 467422796 584278495 1168556990 2337113980