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2309195952 = 243572172331
BaseRepresentation
bin1000100110100011…
…1000100010110000
312221221011022100000
42021220320202300
514212123232302
61021050030000
7111136561500
oct21150704260
95857138300
102309195952
11a85532108
12545418300
132aa544a4b
1417c983a00
15d7adb31c
hex89a388b0

2309195952 has 720 divisors, whose sum is σ = 8891430912. Its totient is φ = 574801920.

The previous prime is 2309195947. The next prime is 2309195953. The reversal of 2309195952 is 2595919032.

It is a junction number, because it is equal to n+sod(n) for n = 2309195898 and 2309195907.

It is not an unprimeable number, because it can be changed into a prime (2309195953) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74490177 + ... + 74490207.

Almost surely, 22309195952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2309195952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445715456).

2309195952 is an abundant number, since it is smaller than the sum of its proper divisors (6582234960).

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

2309195952 is a wasteful number, since it uses less digits than its factorization.

2309195952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 2309195952 is about 48054.0940191364. The cubic root of 2309195952 is about 1321.7630161359.

The spelling of 2309195952 in words is "two billion, three hundred nine million, one hundred ninety-five thousand, nine hundred fifty-two".