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22193499328 = 26711131918233
BaseRepresentation
bin10100101010110101…
…011110110011000000
32010021200222120122121
4110222311132303000
5330423013434303
614110123414024
71413655426450
oct245265366300
963250876577
1022193499328
119459719590
124374684314
132128c71430
14110774dd60
1589d6019bd
hex52ad5ecc0

22193499328 has 224 divisors, whose sum is σ = 62246499840. Its totient is φ = 7561175040.

The previous prime is 22193499299. The next prime is 22193499331. The reversal of 22193499328 is 82399439122.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208100 + ... + 1226332.

It is an arithmetic number, because the mean of its divisors is an integer number (277886160).

Almost surely, 222193499328 is an apocalyptic number.

22193499328 is a gapful number since it is divisible by the number (28) 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 22193499328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123249920).

22193499328 is an abundant number, since it is smaller than the sum of its proper divisors (40053000512).

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

22193499328 is a wasteful number, since it uses less digits than its factorization.

22193499328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18295 (or 18285 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The spelling of 22193499328 in words is "twenty-two billion, one hundred ninety-three million, four hundred ninety-nine thousand, three hundred twenty-eight".