Search a number
-
+
22194361469952 = 21036722323137
BaseRepresentation
bin1010000101111100001110…
…00010000000110000000000
32220120202112012201001000000
411002332013002000300000
510402113023014014302
6115111540544000000
74450326652533600
oct502760702006000
986522465631000
1022194361469952
117087637497a31
1225a54ba900000
13c4cbc493c359
1456a2d9dd4c00
152874d62a231c
hex142f87080c00

22194361469952 has 2772 divisors, whose sum is σ = 85757392289856. Its totient is φ = 5711231877120.

The previous prime is 22194361469947. The next prime is 22194361469963. The reversal of 22194361469952 is 25996416349122.

22194361469952 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 4 + 3 + 614 + 6 + 9 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 22194361469952.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 599847607278 + ... + 599847607314.

Almost surely, 222194361469952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22194361469952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42878696144928).

22194361469952 is an abundant number, since it is smaller than the sum of its proper divisors (63563030819904).

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

22194361469952 is an equidigital number, since it uses as much as digits as its factorization.

22194361469952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 103 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 22194361469952 in words is "twenty-two trillion, one hundred ninety-four billion, three hundred sixty-one million, four hundred sixty-nine thousand, nine hundred fifty-two".