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2312242380 = 2232572317827
BaseRepresentation
bin1000100111010010…
…0000010011001100
312222010220002020200
42021310200103030
514213413224010
61021235213500
7111204510300
oct21164402314
95863802220
102312242380
11a87222a18
12546447290
132ab070576
1417d137d00
15d7eddcc0
hex89d204cc

2312242380 has 216 divisors, whose sum is σ = 8194547088. Its totient is φ = 526208256.

The previous prime is 2312242379. The next prime is 2312242381. The reversal of 2312242380 is 832422132.

2312242380 is a `hidden beast` number, since 231 + 2 + 2 + 423 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2312242379) and next prime (2312242381).

It is not an unprimeable number, because it can be changed into a prime (2312242381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2795527 + ... + 2796353.

It is an arithmetic number, because the mean of its divisors is an integer number (37937718).

Almost surely, 22312242380 is an apocalyptic number.

2312242380 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 2312242380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097273544).

2312242380 is an abundant number, since it is smaller than the sum of its proper divisors (5882304708).

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

2312242380 is a wasteful number, since it uses less digits than its factorization.

2312242380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2312242380 is about 48085.7814743610. The cubic root of 2312242380 is about 1322.3440100558.

The spelling of 2312242380 in words is "two billion, three hundred twelve million, two hundred forty-two thousand, three hundred eighty".