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2234112491520 = 21432572136771
BaseRepresentation
bin100000100000101011011…
…110110100000000000000
321220120122010210122122100
4200200223132310000000
5243100430244212040
64430200452110400
7320260250564100
oct40405336640000
97816563718570
102234112491520
11791533292838
12300b9b905400
131328a2c65470
147a1bb253200
153d1ab121b30
hex2082b7b4000

2234112491520 has 2160 divisors, whose sum is σ = 9985632628608. Its totient is φ = 457797795840.

The previous prime is 2234112491519. The next prime is 2234112491531. The reversal of 2234112491520 is 251942114322.

2234112491520 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 1 + 124 + 9 + 1 + 520 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31466373085 + ... + 31466373155.

Almost surely, 22234112491520 is an apocalyptic number.

2234112491520 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 2234112491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992816314304).

2234112491520 is an abundant number, since it is smaller than the sum of its proper divisors (7751520137088).

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

2234112491520 is a wasteful number, since it uses less digits than its factorization.

2234112491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2234112491520 in words is "two trillion, two hundred thirty-four billion, one hundred twelve million, four hundred ninety-one thousand, five hundred twenty".