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2253927060 = 2235571119317
BaseRepresentation
bin1000011001011000…
…0011001010010100
312211002011100200000
42012112003022110
514104001131220
61011353251300
7106566030630
oct20626031224
95732140600
102253927060
11a57312840
1252aa03b30
1329bc63368
141754b7dc0
15d2d20390
hex86583294

2253927060 has 576 divisors, whose sum is σ = 9334241280. Its totient is φ = 442298880.

The previous prime is 2253927043. The next prime is 2253927083. The reversal of 2253927060 is 607293522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7110022 + ... + 7110338.

It is an arithmetic number, because the mean of its divisors is an integer number (16205280).

Almost surely, 22253927060 is an apocalyptic number.

2253927060 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 2253927060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667120640).

2253927060 is an abundant number, since it is smaller than the sum of its proper divisors (7080314220).

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

2253927060 is a wasteful number, since it uses less digits than its factorization.

2253927060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2253927060 is about 47475.5417030706. The cubic root of 2253927060 is about 1311.1326102053.

The spelling of 2253927060 in words is "two billion, two hundred fifty-three million, nine hundred twenty-seven thousand, sixty".