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22111989552 = 2433614871723
BaseRepresentation
bin10100100101111110…
…100010111100110000
32010002000121110021000
4110211332202330300
5330241132131202
614054052402000
71411645544562
oct244576427460
963060543230
1022111989552
119417707034
124351316300
132115102ab3
1410da9b3332
158963a091c
hex525fa2f30

22111989552 has 160 divisors (see below), whose sum is σ = 64680066560. Its totient is φ = 7230746880.

The previous prime is 22111989551. The next prime is 22111989553. The reversal of 22111989552 is 25598911122.

It is a happy number.

22111989552 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 1 + 98 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (22111989551) and next prime (22111989553).

It is a junction number, because it is equal to n+sod(n) for n = 22111989498 and 22111989507.

It is not an unprimeable number, because it can be changed into a prime (22111989551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12832563 + ... + 12834285.

It is an arithmetic number, because the mean of its divisors is an integer number (404250416).

Almost surely, 222111989552 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 22111989552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32340033280).

22111989552 is an abundant number, since it is smaller than the sum of its proper divisors (42568077008).

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

22111989552 is a wasteful number, since it uses less digits than its factorization.

22111989552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2276 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The spelling of 22111989552 in words is "twenty-two billion, one hundred eleven million, nine hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 487 488 549 732 974 976 1098 1461 1464 1647 1723 1948 2196 2922 2928 3294 3446 3896 4383 4392 5169 5844 6588 6892 7792 8766 8784 10338 11688 13149 13176 13784 15507 17532 20676 23376 26298 26352 27568 29707 31014 35064 41352 46521 52596 59414 62028 70128 82704 89121 93042 105103 105192 118828 124056 178242 186084 210206 210384 237656 248112 267363 315309 356484 372168 420412 475312 534726 630618 712968 744336 802089 839101 840824 945927 1069452 1261236 1425936 1604178 1678202 1681648 1891854 2138904 2517303 2522472 2837781 3208356 3356404 3783708 4277808 5034606 5044944 5675562 6416712 6712808 7551909 7567416 10069212 11351124 12833424 13425616 15103818 15134832 20138424 22655727 22702248 30207636 40276848 45311454 45404496 51185161 60415272 90622908 102370322 120830544 153555483 181245816 204740644 307110966 362491632 409481288 460666449 614221932 818962576 921332898 1228443864 1381999347 1842665796 2456887728 2763998694 3685331592 5527997388 7370663184 11055994776 22111989552