Search a number
-
+
22290318720 = 273452914827
BaseRepresentation
bin10100110000100110…
…110100010110000000
32010112110011111220000
4110300212310112000
5331122310144340
614123502520000
71416242403645
oct246046642600
963473144800
1022290318720
1194a933840a
1243a0b96000
132143040307
141116553dcc
158a6d78d30
hex5309b4580

22290318720 has 320 divisors, whose sum is σ = 82353229200. Its totient is φ = 5738729472.

The previous prime is 22290318719. The next prime is 22290318737. The reversal of 22290318720 is 2781309222.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1495947 + ... + 1510773.

Almost surely, 222290318720 is an apocalyptic number.

22290318720 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 22290318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41176614600).

22290318720 is an abundant number, since it is smaller than the sum of its proper divisors (60062910480).

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

22290318720 is a wasteful number, since it uses less digits than its factorization.

22290318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22290318720 in words is "twenty-two billion, two hundred ninety million, three hundred eighteen thousand, seven hundred twenty".