Search a number
-
+
22040441352 = 23325310215657
BaseRepresentation
bin10100100001101101…
…100111001000001000
32002220000222102120200
4110201231213020020
5330114323110402
614043015052200
71410116442336
oct244155471010
962800872520
1022040441352
119390288896
124331371060
132103341697
1410d12aab56
1588ee6b21c
hex521b67208

22040441352 has 96 divisors (see below), whose sum is σ = 60889472280. Its totient is φ = 7199861760.

The previous prime is 22040441347. The next prime is 22040441363. The reversal of 22040441352 is 25314404022.

22040441352 is a `hidden beast` number, since 220 + 404 + 4 + 1 + 35 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17533467396 + 4506973956 = 132414^2 + 67134^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3893308 + ... + 3898964.

Almost surely, 222040441352 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 22040441352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30444736140).

22040441352 is an abundant number, since it is smaller than the sum of its proper divisors (38849030928).

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

22040441352 is a wasteful number, since it uses less digits than its factorization.

22040441352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6743 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 22040441352 its reverse (25314404022), we get a palindrome (47354845374).

The spelling of 22040441352 in words is "twenty-two billion, forty million, four hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1021 1272 1908 2042 3063 3816 4084 5657 6126 8168 9189 11314 12252 16971 18378 22628 24504 33942 36756 45256 50913 54113 67884 73512 101826 108226 135768 162339 203652 216452 299821 324678 407304 432904 487017 599642 649356 899463 974034 1199284 1298712 1798926 1948068 2398568 2698389 3597852 3896136 5396778 5775797 7195704 10793556 11551594 17327391 21587112 23103188 34654782 46206376 51982173 69309564 103964346 138619128 207928692 306117241 415857384 612234482 918351723 1224468964 1836703446 2448937928 2755055169 3673406892 5510110338 7346813784 11020220676 22040441352