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22301233020 = 2232511127131677
BaseRepresentation
bin10100110001010000…
…011100111101111100
32010120012201000111100
4110301100130331330
5331133103424040
614124532453100
71416434232033
oct246120347574
963505630440
1022301233020
1195045124a0
1243a477a190
132145392091
141117b9571a
158a7cd2b30
hex53141cf7c

22301233020 has 288 divisors, whose sum is σ = 75056357376. Its totient is φ = 5314982400.

The previous prime is 22301232997. The next prime is 22301233049. The reversal of 22301233020 is 2033210322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22301232984 and 22301233002.

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, 32940922 + ... + 32941598.

It is an arithmetic number, because the mean of its divisors is an integer number (260612352).

Almost surely, 222301233020 is an apocalyptic number.

22301233020 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 22301233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37528178688).

22301233020 is an abundant number, since it is smaller than the sum of its proper divisors (52755124356).

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

22301233020 is a wasteful number, since it uses less digits than its factorization.

22301233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 22301233020 its reverse (2033210322), we get a palindrome (24334443342).

The spelling of 22301233020 in words is "twenty-two billion, three hundred one million, two hundred thirty-three thousand, twenty".