Search a number
-
+
22076938091520 = 21033513193591801
BaseRepresentation
bin1010000010100001100000…
…00011010111110000000000
32220011112102202220100211000
411001100300003113300000
510343202032122412040
6114542001053252000
74436002051352454
oct501206003276000
986145382810730
1022076938091520
11704186000a824
1225867a9a94000
13c41b00500b40
1456475ad66664
15284412610130
hex1414300d7c00

22076938091520 has 1408 divisors, whose sum is σ = 89236885248000. Its totient is φ = 5131114905600.

The previous prime is 22076938091503. The next prime is 22076938091521. The reversal of 22076938091520 is 2519083967022.

22076938091520 is a `hidden beast` number, since 2 + 20 + 7 + 6 + 9 + 3 + 8 + 0 + 91 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22076938091521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12258154620 + ... + 12258156420.

Almost surely, 222076938091520 is an apocalyptic number.

22076938091520 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 22076938091520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44618442624000).

22076938091520 is an abundant number, since it is smaller than the sum of its proper divisors (67159947156480).

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

22076938091520 is a wasteful number, since it uses less digits than its factorization.

22076938091520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2226 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 22076938091520 in words is "twenty-two trillion, seventy-six billion, nine hundred thirty-eight million, ninety-one thousand, five hundred twenty".