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22212100241304 = 2334353222733371
BaseRepresentation
bin1010000110011101010000…
…10110000011011110011000
32220122110022110022222200120
411003032220112003132120
510402410340130210204
6115124033055233240
74451525356566261
oct503165026033630
986573273288616
1022212100241304
11709410a577446
1225a8a2b518820
13c517909c836c
1456b0ddc61968
15287bc37596d9
hex1433a8583798

22212100241304 has 192 divisors, whose sum is σ = 57956653560960. Its totient is φ = 7090171146240.

The previous prime is 22212100241237. The next prime is 22212100241339. The reversal of 22212100241304 is 40314200121222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6589170739 + ... + 6589174109.

It is an arithmetic number, because the mean of its divisors is an integer number (301857570630).

Almost surely, 222212100241304 is an apocalyptic number.

22212100241304 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 22212100241304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28978326780480).

22212100241304 is an abundant number, since it is smaller than the sum of its proper divisors (35744553319656).

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

22212100241304 is a wasteful number, since it uses less digits than its factorization.

22212100241304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5802 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 22212100241304 its reverse (40314200121222), we get a palindrome (62526300362526).

The spelling of 22212100241304 in words is "twenty-two trillion, two hundred twelve billion, one hundred million, two hundred forty-one thousand, three hundred four".