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22204919220672 = 26323101322132243
BaseRepresentation
bin1010000110001111111000…
…10100101000100111000000
32220121202202222222100021110
411003013330110220213000
510402301133310030142
6115120444333123320
74451152412121126
oct503077424504700
986552688870243
1022204919220672
117091065023351
1225a7566629540
13c50bb8051b26
1456aa1c263916
152879030d499c
hex1431fc5289c0

22204919220672 has 224 divisors, whose sum is σ = 61420504324608. Its totient is φ = 7066492432384.

The previous prime is 22204919220643. The next prime is 22204919220713. The reversal of 22204919220672 is 27602291940222.

It is a super-3 number, since 3×222049192206723 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9899650783 + ... + 9899653025.

Almost surely, 222204919220672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22204919220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30710252162304).

22204919220672 is an abundant number, since it is smaller than the sum of its proper divisors (39215585103936).

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

22204919220672 is a wasteful number, since it uses less digits than its factorization.

22204919220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 22204919220672 in words is "twenty-two trillion, two hundred four billion, nine hundred nineteen million, two hundred twenty thousand, six hundred seventy-two".