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2314324980 = 22335111392803
BaseRepresentation
bin1000100111110001…
…1100101111110100
312222021210220001000
42021330130233310
514214431344410
61021352003300
7111231303102
oct21174345764
95867726030
102314324980
11a88415680
12547090530
132ab61c486
1417d51ac72
15d82a0dc0
hex89f1cbf4

2314324980 has 192 divisors, whose sum is σ = 7914009600. Its totient is φ = 556813440.

The previous prime is 2314324949. The next prime is 2314324981. The reversal of 2314324980 is 894234132.

2314324980 is a `hidden beast` number, since 23 + 143 + 2 + 498 + 0 = 666.

It is a super-2 number, since 2×23143249802 = 10712200226104000800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314324981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 824259 + ... + 827061.

It is an arithmetic number, because the mean of its divisors is an integer number (41218800).

Almost surely, 22314324980 is an apocalyptic number.

2314324980 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 2314324980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957004800).

2314324980 is an abundant number, since it is smaller than the sum of its proper divisors (5599684620).

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

2314324980 is a wasteful number, since it uses less digits than its factorization.

2314324980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2971 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2314324980 is about 48107.4316504217. The cubic root of 2314324980 is about 1322.7408956751.

The spelling of 2314324980 in words is "two billion, three hundred fourteen million, three hundred twenty-four thousand, nine hundred eighty".