Search a number
-
+
2422212660 = 223457213599
BaseRepresentation
bin1001000001100000…
…0000100000110100
320020210211011010000
42100120000200310
514430041301120
61040204231300
7114011316330
oct22030004064
96223734100
102422212660
11103330424a
1257723b530
132c7a9523a
1418d9a27c0
15e29b2990
hex90600834

2422212660 has 120 divisors (see below), whose sum is σ = 8684121600. Its totient is φ = 553646016.

The previous prime is 2422212647. The next prime is 2422212671. The reversal of 2422212660 is 662122242.

It is a happy number.

It is a super-2 number, since 2×24222126602 = 11734228340528551200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95460 + ... + 118139.

It is an arithmetic number, because the mean of its divisors is an integer number (72367680).

Almost surely, 22422212660 is an apocalyptic number.

2422212660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422212660 is an abundant number, since it is smaller than the sum of its proper divisors (6261908940).

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

2422212660 is a wasteful number, since it uses less digits than its factorization.

2422212660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213627 (or 213616 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2422212660 is about 49215.9797220374. The cubic root of 2422212660 is about 1342.9837462713.

The spelling of 2422212660 in words is "two billion, four hundred twenty-two million, two hundred twelve thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 213599 427198 640797 854396 1067995 1281594 1495193 1922391 2135990 2563188 2990386 3203985 3844782 4271980 4485579 5767173 5980772 6407970 7475965 7689564 8971158 9611955 11534346 12815940 13456737 14951930 17301519 17942316 19223910 22427895 23068692 26913474 28835865 29903860 34603038 38447820 40370211 44855790 53826948 57671730 67283685 69206076 80740422 86507595 89711580 115343460 121110633 134567370 161480844 173015190 201851055 242221266 269134740 346030380 403702110 484442532 605553165 807404220 1211106330 2422212660