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22229136384 = 2103713131607
BaseRepresentation
bin10100101100111101…
…011011010000000000
32010101012001010111120
4110230331123100000
5331011124331014
614113435312240
71414600353540
oct245475332000
963335033446
1022229136384
11947784a1a4
1243845ab680
13213346b150
14110c389320
158a17e0ba9
hex52cf5b400

22229136384 has 352 divisors, whose sum is σ = 73599246336. Its totient is φ = 5808291840.

The previous prime is 22229136329. The next prime is 22229136511. The reversal of 22229136384 is 48363192222.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36621009 + ... + 36621615.

It is an arithmetic number, because the mean of its divisors is an integer number (209088768).

Almost surely, 222229136384 is an apocalyptic number.

22229136384 is a gapful number since it is divisible by the number (24) 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 22229136384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36799623168).

22229136384 is an abundant number, since it is smaller than the sum of its proper divisors (51370109952).

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

22229136384 is a wasteful number, since it uses less digits than its factorization.

22229136384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 763 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The spelling of 22229136384 in words is "twenty-two billion, two hundred twenty-nine million, one hundred thirty-six thousand, three hundred eighty-four".