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2222368164 = 22310972
BaseRepresentation
bin1000010001110110…
…1010010110100100
312201212210000000000
42010131222112210
514022411240124
61004305021300
7106033550322
oct20435522644
95655700000
102222368164
11a40518105
12520324830
13295563963
14171220d12
15d01896c9
hex8476a5a4

2222368164 has 99 divisors (see below), whose sum is σ = 5894444577. Its totient is φ = 733152384.

The previous prime is 2222368151. The next prime is 2222368177. The reversal of 2222368164 is 4618632222.

The square root of 2222368164 is 47142.

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

It is an interprime number because it is at equal distance from previous prime (2222368151) and next prime (2222368177).

It can be written as a sum of positive squares in only one way, i.e., 997928100 + 1224440064 = 31590^2 + 34992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 22910964 + ... + 22911060.

Almost surely, 22222368164 is an apocalyptic number.

2222368164 is the 47142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222368164

2222368164 is an abundant number, since it is smaller than the sum of its proper divisors (3672076413).

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

2222368164 is an frugal number, since it uses more digits than its factorization.

2222368164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 102 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 2222368164 is about 1304.9844469014.

Multiplying 2222368164 by its sum of digits (36), we get a square (80005253904 = 2828522).

2222368164 divided by its sum of digits (36) gives a square (61732449 = 78572).

It can be divided in two parts, 222236 and 8164, that added together give a square (230400 = 4802).

The spelling of 2222368164 in words is "two billion, two hundred twenty-two million, three hundred sixty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 486 582 729 873 972 1164 1458 1746 2187 2619 2916 3492 4374 5238 6561 7857 8748 9409 10476 13122 15714 18818 19683 23571 26244 28227 31428 37636 39366 47142 56454 59049 70713 78732 84681 94284 112908 118098 141426 169362 212139 236196 254043 282852 338724 424278 508086 636417 762129 848556 1016172 1272834 1524258 1909251 2286387 2545668 3048516 3818502 4572774 5727753 6859161 7637004 9145548 11455506 13718322 20577483 22911012 27436644 41154966 61732449 82309932 123464898 185197347 246929796 370394694 555592041 740789388 1111184082 2222368164