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22023313032000 = 263537230761001
BaseRepresentation
bin1010000000111101100111…
…10000000000001101000000
32212222102000112220002101110
411000132303300000031000
510341312221114011000
6114501211554203320
74432063141024200
oct500366360001500
985872015802343
1022023313032000
117021042072915
122578322b83540
13c39a357189a7
14561d11002400
15282d248a8850
hex1407b3c00340

22023313032000 has 672 divisors, whose sum is σ = 84870733723776. Its totient is φ = 5017420800000.

The previous prime is 22023313031981. The next prime is 22023313032043. The reversal of 22023313032000 is 23031332022.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×220233130320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 361001500 + ... + 361062500.

It is an arithmetic number, because the mean of its divisors is an integer number (126295734708).

Almost surely, 222023313032000 is an apocalyptic number.

22023313032000 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 22023313032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42435366861888).

22023313032000 is an abundant number, since it is smaller than the sum of its proper divisors (62847420691776).

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

22023313032000 is a wasteful number, since it uses less digits than its factorization.

22023313032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61352 (or 61325 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22023313032000 its reverse (23031332022), we get a palindrome (22046344364022).

The spelling of 22023313032000 in words is "twenty-two trillion, twenty-three billion, three hundred thirteen million, thirty-two thousand".