Search a number
-
+
22561397856 = 253453164231
BaseRepresentation
bin10101000000110000…
…111001110001100000
32011020100020202120000
4111000300321301200
5332201204212411
614210425020000
71426043501064
oct250060716140
964210222500
1022561397856
119628359158
124457924600
13218725337a
141140559aa4
158c0a73956
hex540c39c60

22561397856 has 120 divisors (see below), whose sum is σ = 67604788944. Its totient is φ = 7378525440.

The previous prime is 22561397851. The next prime is 22561397869. The reversal of 22561397856 is 65879316522.

22561397856 is a `hidden beast` number, since 2 + 2 + 561 + 3 + 9 + 78 + 5 + 6 = 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 (22561397851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 55261 + ... + 219491.

Almost surely, 222561397856 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 22561397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33802394472).

22561397856 is an abundant number, since it is smaller than the sum of its proper divisors (45043391088).

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

22561397856 is a wasteful number, since it uses less digits than its factorization.

22561397856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164306 (or 164289 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 22561397856 in words is "twenty-two billion, five hundred sixty-one million, three hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 212 216 288 318 324 424 432 477 636 648 848 864 954 1272 1296 1431 1696 1908 2544 2592 2862 3816 4293 5088 5724 7632 8586 11448 15264 17172 22896 34344 45792 68688 137376 164231 328462 492693 656924 985386 1313848 1478079 1970772 2627696 2956158 3941544 4434237 5255392 5912316 7883088 8704243 8868474 11824632 13302711 15766176 17408486 17736948 23649264 26112729 26605422 34816972 35473896 47298528 52225458 53210844 69633944 70947792 78338187 104450916 106421688 139267888 141895584 156676374 208901832 212843376 235014561 278535776 313352748 417803664 425686752 470029122 626705496 705043683 835607328 940058244 1253410992 1410087366 1880116488 2506821984 2820174732 3760232976 5640349464 7520465952 11280698928 22561397856