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22330312224 = 2531137737829
BaseRepresentation
bin10100110010111111…
…011000011000100000
32010122020102101122220
4110302333120120200
5331213024442344
614131452031040
71420236344043
oct246277303040
963566371586
1022330312224
1195199740a0
1243b2462480
13214b403bcc
14111b9a4c5a
158aa628c19
hex532fd8620

22330312224 has 192 divisors, whose sum is σ = 66582311040. Its totient is φ = 6492856320.

The previous prime is 22330312223. The next prime is 22330312247. The reversal of 22330312224 is 42221303322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 22330312194 and 22330312203.

It is not an unprimeable number, because it can be changed into a prime (22330312223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2848342 + ... + 2856170.

It is an arithmetic number, because the mean of its divisors is an integer number (346782870).

Almost surely, 222330312224 is an apocalyptic number.

22330312224 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 22330312224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33291155520).

22330312224 is an abundant number, since it is smaller than the sum of its proper divisors (44251998816).

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

22330312224 is a wasteful number, since it uses less digits than its factorization.

22330312224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7955 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 22330312224 its reverse (42221303322), we get a palindrome (64551615546).

The spelling of 22330312224 in words is "twenty-two billion, three hundred thirty million, three hundred twelve thousand, two hundred twenty-four".