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53222832000 = 273953132
BaseRepresentation
bin110001100100010100…
…111111011110000000
312002101012011000000000
4301210110333132000
51333000021111000
640241130000000
73562624415262
oct614424773600
9162335130000
1053222832000
11206319a0478
12a394276000
135032673a00
14280c77db32
1515b77a3000
hexc6453f780

53222832000 has 960 divisors, whose sum is σ = 214927043760. Its totient is φ = 13101004800.

The previous prime is 53222831993. The next prime is 53222832011. The reversal of 53222832000 is 23822235.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×532228320002 (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4094063994 + ... + 4094064006.

Almost surely, 253222832000 is an apocalyptic number.

53222832000 is a gapful number since it is divisible by the number (50) 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 53222832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107463521880).

53222832000 is an abundant number, since it is smaller than the sum of its proper divisors (161704211760).

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

53222832000 is an frugal number, since it uses more digits than its factorization.

53222832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 53222832000 in words is "fifty-three billion, two hundred twenty-two million, eight hundred thirty-two thousand".