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22098813984 = 2534133671787
BaseRepresentation
bin10100100101001100…
…010010010000100000
32010001002211001210000
4110211030102100200
5330224244021414
614052502140000
71411425551052
oct244514222040
963032731700
1022098813984
119410228035
124348a21600
13211246b9c0
1410d8d438d2
1589514bb09
hex525312420

22098813984 has 240 divisors, whose sum is σ = 70221368448. Its totient is φ = 6777312768.

The previous prime is 22098813973. The next prime is 22098814061. The reversal of 22098813984 is 48931889022.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 22098813984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12365539 + ... + 12367325.

Almost surely, 222098813984 is an apocalyptic number.

22098813984 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 22098813984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35110684224).

22098813984 is an abundant number, since it is smaller than the sum of its proper divisors (48122554464).

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

22098813984 is a wasteful number, since it uses less digits than its factorization.

22098813984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2189 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 22098813984 in words is "twenty-two billion, ninety-eight million, eight hundred thirteen thousand, nine hundred eighty-four".