Search a number
-
+
22702680000 = 263454721113
BaseRepresentation
bin10101001001001011…
…110110011111000000
32011121012002122020000
4111021023312133000
5332443341230000
614232433120000
71432410411300
oct251113663700
964535078200
1022702680000
1196a0086560
1244970b9000
1321aa5bc180
141155215600
158cd180000
hex5492f67c0

22702680000 has 2100 divisors, whose sum is σ = 114927580152. Its totient is φ = 4354560000.

The previous prime is 22702679983. The next prime is 22702680001. The reversal of 22702680000 is 8620722.

It is a tau number, because it is divible by the number of its divisors (2100).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22702680001) by changing a digit.

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 299 ways as a sum of consecutive naturals, for example, 1746359994 + ... + 1746360006.

Almost surely, 222702680000 is an apocalyptic number.

22702680000 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 22702680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57463790076).

22702680000 is an abundant number, since it is smaller than the sum of its proper divisors (92224900152).

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

22702680000 is a wasteful number, since it uses less digits than its factorization.

22702680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 22702680000 in words is "twenty-two billion, seven hundred two million, six hundred eighty thousand".