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2264530500 = 223353434783
BaseRepresentation
bin1000011011111001…
…1111111001000100
312211211010001212000
42012332133321010
514114204434000
61012412425300
7110055122511
oct20676377104
95754101760
102264530500
11a622a5311
12532478230
132a120679b
14176a78308
15d3c17000
hex86f9fe44

2264530500 has 384 divisors, whose sum is σ = 7749181440. Its totient is φ = 570326400.

The previous prime is 2264530493. The next prime is 2264530519. The reversal of 2264530500 is 50354622.

2264530500 is a `hidden beast` number, since 22 + 64 + 530 + 50 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27283459 + ... + 27283541.

It is an arithmetic number, because the mean of its divisors is an integer number (20180160).

Almost surely, 22264530500 is an apocalyptic number.

2264530500 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 2264530500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874590720).

2264530500 is an abundant number, since it is smaller than the sum of its proper divisors (5484650940).

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

2264530500 is a wasteful number, since it uses less digits than its factorization.

2264530500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2264530500 is about 47587.0833315092. The cubic root of 2264530500 is about 1313.1854378941.

The spelling of 2264530500 in words is "two billion, two hundred sixty-four million, five hundred thirty thousand, five hundred".