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22328025984 = 2732112776361
BaseRepresentation
bin10100110010110110…
…101010001110000000
32010122002010020112100
4110302312222032000
5331211433312414
614131331030400
71420211042445
oct246266521600
963562106470
1022328025984
119518652440
1243b173b400
13214aab33c4
14111b56b9cc
158aa326609
hex532daa380

22328025984 has 192 divisors, whose sum is σ = 70356340080. Its totient is φ = 6740582400.

The previous prime is 22328025949. The next prime is 22328025989. The reversal of 22328025984 is 48952082322.

22328025984 is a `hidden beast` number, since 22 + 32 + 8 + 0 + 2 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×223280259843 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22328025989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3506964 + ... + 3513324.

Almost surely, 222328025984 is an apocalyptic number.

22328025984 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 22328025984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35178170040).

22328025984 is an abundant number, since it is smaller than the sum of its proper divisors (48028314096).

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

22328025984 is a wasteful number, since it uses less digits than its factorization.

22328025984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22328025984 in words is "twenty-two billion, three hundred twenty-eight million, twenty-five thousand, nine hundred eighty-four".