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2312735220 = 2233543103967
BaseRepresentation
bin1000100111011001…
…1000100111110100
312222011211010022000
42021312120213310
514214030011340
61021253535300
7111211632165
oct21166304764
95864733260
102312735220
11a8752a224
12546644530
132ab1b39a3
1417d22576c
15d8089d30
hex89d989f4

2312735220 has 192 divisors, whose sum is σ = 7441674240. Its totient is φ = 595921536.

The previous prime is 2312735219. The next prime is 2312735231. The reversal of 2312735220 is 225372132.

It is a happy number.

2312735220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2391177 + ... + 2392143.

It is an arithmetic number, because the mean of its divisors is an integer number (38758720).

Almost surely, 22312735220 is an apocalyptic number.

2312735220 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 2312735220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720837120).

2312735220 is an abundant number, since it is smaller than the sum of its proper divisors (5128939020).

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

2312735220 is a wasteful number, since it uses less digits than its factorization.

2312735220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2312735220 is about 48090.9057930915. The cubic root of 2312735220 is about 1322.4379531665.

The spelling of 2312735220 in words is "two billion, three hundred twelve million, seven hundred thirty-five thousand, two hundred twenty".