Search a number
-
+
22313639040 = 2735711213721
BaseRepresentation
bin10100110001111111…
…110001110010000000
32010121002001022100120
4110301333301302000
5331144242422130
614130054420240
71416644542140
oct246177616200
963532038316
1022313639040
119510516300
1243a8961680
132147b16b14
1411196a4920
158a8e33910
hex531ff1c80

22313639040 has 384 divisors, whose sum is σ = 89353272960. Its totient is φ = 4636262400.

The previous prime is 22313639009. The next prime is 22313639053. The reversal of 22313639040 is 4093631322.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×223136390403 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22313638992 and 22313639010.

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 47 ways as a sum of consecutive naturals, for example, 1619380 + ... + 1633100.

It is an arithmetic number, because the mean of its divisors is an integer number (232690815).

Almost surely, 222313639040 is an apocalyptic number.

22313639040 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 22313639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44676636480).

22313639040 is an abundant number, since it is smaller than the sum of its proper divisors (67039633920).

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

22313639040 is a wasteful number, since it uses less digits than its factorization.

22313639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13772 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The spelling of 22313639040 in words is "twenty-two billion, three hundred thirteen million, six hundred thirty-nine thousand, forty".