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20224263060 = 2235583181277
BaseRepresentation
bin10010110101011101…
…011100001110010100
31221012110112000100000
4102311131130032110
5312404402404220
613142500051300
71314114254031
oct226535341624
957173460300
1020224263060
1186390841a1
123b05093b30
131ba3ca8881
14d9bdc2388
157d57b9390
hex4b575c394

20224263060 has 288 divisors, whose sum is σ = 64974978432. Its totient is φ = 5279592960.

The previous prime is 20224263047. The next prime is 20224263109. The reversal of 20224263060 is 6036242202.

20224263060 is a `hidden beast` number, since 2 + 0 + 2 + 24 + 2 + 630 + 6 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 73011642 + ... + 73011918.

It is an arithmetic number, because the mean of its divisors is an integer number (225607564).

Almost surely, 220224263060 is an apocalyptic number.

20224263060 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 20224263060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32487489216).

20224263060 is an abundant number, since it is smaller than the sum of its proper divisors (44750715372).

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

20224263060 is a wasteful number, since it uses less digits than its factorization.

20224263060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 20224263060 in words is "twenty billion, two hundred twenty-four million, two hundred sixty-three thousand, sixty".