Search a number
-
+
22871117824 = 2121721392
BaseRepresentation
bin10101010011001110…
…011001000000000000
32012000221001011110221
4111103032121000000
5333320001232244
614301251232424
71436524202542
oct252316310000
965027034427
1022871117824
119777171375
1245235a8714
132206475419
14116d73d692
158dcd52784
hex553399000

22871117824 has 117 divisors (see below), whose sum is σ = 48937350657. Its totient is φ = 10685448192.

The previous prime is 22871117771. The next prime is 22871117831. The reversal of 22871117824 is 42871117822.

The square root of 22871117824 is 151232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17806233600 + 5064884224 = 133440^2 + 71168^2 .

It is a Duffinian number.

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 164540347 + ... + 164540485.

Almost surely, 222871117824 is an apocalyptic number.

22871117824 is the 151232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22871117824

22871117824 is an abundant number, since it is smaller than the sum of its proper divisors (26066232833).

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

22871117824 is an frugal number, since it uses more digits than its factorization.

22871117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 158 counting only the distinct ones).

The product of its digits is 100352, while the sum is 43.

The spelling of 22871117824 in words is "twenty-two billion, eight hundred seventy-one million, one hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 139 256 272 278 289 512 544 556 578 1024 1088 1112 1156 2048 2176 2224 2312 2363 4096 4352 4448 4624 4726 8704 8896 9248 9452 17408 17792 18496 18904 19321 34816 35584 36992 37808 38642 40171 69632 71168 73984 75616 77284 80342 142336 147968 151232 154568 160684 284672 295936 302464 309136 321368 328457 569344 591872 604928 618272 642736 656914 1183744 1209856 1236544 1285472 1313828 2419712 2473088 2570944 2627656 4839424 4946176 5141888 5255312 5583769 9678848 9892352 10283776 10510624 11167538 19784704 20567552 21021248 22335076 39569408 41135104 42042496 44670152 79138816 82270208 84084992 89340304 164540416 168169984 178680608 336339968 357361216 672679936 714722432 1345359872 1429444864 2858889728 5717779456 11435558912 22871117824