Search a number
-
+
22796844894720 = 2932513174477133
BaseRepresentation
bin1010010111011110011011…
…10101111000101000000000
32222201100122022120010211100
411023233031311320220000
510442000414243112340
6120252420450414400
74542006032254221
oct513571565705000
988640568503740
1022796844894720
11729a0a66a3296
122682221291400
13c9496bc44670
1458b532013248
15297ee9174830
hex14bbcdd78a00

22796844894720 has 480 divisors, whose sum is σ = 90026604459792. Its totient is φ = 5281439809536.

The previous prime is 22796844894709. The next prime is 22796844894767. The reversal of 22796844894720 is 2749844869722.

22796844894720 is a `hidden beast` number, since 2 + 2 + 7 + 9 + 6 + 84 + 489 + 47 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10169567928576 + 12627276966144 = 3188976^2 + 3553488^2 .

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

It is a super-2 number, since 2×227968448947202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2853274 + ... + 7330406.

Almost surely, 222796844894720 is an apocalyptic number.

22796844894720 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 22796844894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45013302229896).

22796844894720 is an abundant number, since it is smaller than the sum of its proper divisors (67229759565072).

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

22796844894720 is a wasteful number, since it uses less digits than its factorization.

22796844894720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477192 (or 4477173 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 22796844894720 in words is "twenty-two trillion, seven hundred ninety-six billion, eight hundred forty-four million, eight hundred ninety-four thousand, seven hundred twenty".