Search a number
-
+
22246145856 = 263411390119
BaseRepresentation
bin10100101101111110…
…010011111101000000
32010102101001022010000
4110231332103331000
5331030003131411
614115244040000
71415165056044
oct245576237500
963371038100
1022246145856
119486407710
12438a233000
132136b4531c
141110736024
158a3050956
hex52df93f40

22246145856 has 140 divisors (see below), whose sum is σ = 71939688480. Its totient is φ = 6741239040.

The previous prime is 22246145827. The next prime is 22246145869. The reversal of 22246145856 is 65854164222.

22246145856 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 61 + 4 + 585 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 138036 + ... + 252083.

Almost surely, 222246145856 is an apocalyptic number.

It is an amenable number.

22246145856 is an abundant number, since it is smaller than the sum of its proper divisors (49693542624).

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

22246145856 is a wasteful number, since it uses less digits than its factorization.

22246145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390154 (or 390135 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 22246145856 in words is "twenty-two billion, two hundred forty-six million, one hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 57024 390119 780238 1170357 1560476 2340714 3120952 3511071 4291309 4681428 6241904 7022142 8582618 9362856 10533213 12483808 12873927 14044284 17165236 18725712 21066426 24967616 25747854 28088568 31599639 34330472 37451424 38621781 42132852 51495708 56177136 63199278 68660944 74902848 77243562 84265704 102991416 112354272 115865343 126398556 137321888 154487124 168531408 205982832 224708544 231730686 252797112 274643776 308974248 337062816 347596029 411965664 463461372 505594224 617948496 674125632 695192058 823931328 926922744 1011188448 1235896992 1390384116 1853845488 2022376896 2471793984 2780768232 3707690976 5561536464 7415381952 11123072928 22246145856