Search a number
-
+
22693680000 = 27325443733
BaseRepresentation
bin10101001000101001…
…100001001110000000
32011120120011101112200
4111020221201032000
5332434040230000
614231512153200
71432241045235
oct251051411600
964516141480
1022693680000
119695a99742
124494098800
1321a878a824
141153d5178c
158cc4a3500
hex548a61380

22693680000 has 480 divisors, whose sum is σ = 83614828440. Its totient is φ = 5902848000.

The previous prime is 22693679989. The next prime is 22693680013. The reversal of 22693680000 is 8639622.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×226936800002 (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 30959634 + ... + 30960366.

Almost surely, 222693680000 is an apocalyptic number.

22693680000 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 22693680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41807414220).

22693680000 is an abundant number, since it is smaller than the sum of its proper divisors (60921148440).

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

22693680000 is an equidigital number, since it uses as much as digits as its factorization.

22693680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 226936 and 80000, that added together give a triangular number (306936 = T783).

The spelling of 22693680000 in words is "twenty-two billion, six hundred ninety-three million, six hundred eighty thousand".