Search a number
-
+
22105513152 = 263238377627
BaseRepresentation
bin10100100101100101…
…110101110011000000
32010001120102102022100
4110211211311303000
5330233002410102
614053301510400
71411536522132
oct244545656300
963046372270
1022105513152
119413a93238
12434b112400
132113975cc8
1410d9ba9052
15895a21a1c
hex525975cc0

22105513152 has 42 divisors (see below), whose sum is σ = 63361463828. Its totient is φ = 7368504192.

The previous prime is 22105513147. The next prime is 22105513153. The reversal of 22105513152 is 25131550122.

22105513152 is a `hidden beast` number, since 22 + 10 + 551 + 31 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (22105513153) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19188238 + ... + 19189389.

Almost surely, 222105513152 is an apocalyptic number.

It is an amenable number.

22105513152 is an abundant number, since it is smaller than the sum of its proper divisors (41255950676).

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

22105513152 is a wasteful number, since it uses less digits than its factorization.

22105513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38377645 (or 38377632 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 22105513152 in words is "twenty-two billion, one hundred five million, five hundred thirteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 38377627 76755254 115132881 153510508 230265762 307021016 345398643 460531524 614042032 690797286 921063048 1228084064 1381594572 1842126096 2456168128 2763189144 3684252192 5526378288 7368504384 11052756576 22105513152