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2122420212 = 2233116592711
BaseRepresentation
bin111111010000001…
…1000111111110100
312110220201010012000
41332200120333310
513321314421322
6550334455300
7103411163013
oct17640307764
95426633160
102122420212
1199a0617a0
124b2964530
1327a93aa63
14161c44a7a
15c64e53ac
hex7e818ff4

2122420212 has 96 divisors (see below), whose sum is σ = 6014131200. Its totient is φ = 641944800.

The previous prime is 2122420193. The next prime is 2122420217. The reversal of 2122420212 is 2120242212.

2122420212 is a `hidden beast` number, since 212 + 242 + 0 + 212 = 666.

It is a super-2 number, since 2×21224202122 = 9009335112612249888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122420217) 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, 781537 + ... + 784247.

It is an arithmetic number, because the mean of its divisors is an integer number (62647200).

Almost surely, 22122420212 is an apocalyptic number.

2122420212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122420212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007065600).

2122420212 is an abundant number, since it is smaller than the sum of its proper divisors (3891710988).

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

2122420212 is a wasteful number, since it uses less digits than its factorization.

2122420212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3394 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2122420212 is about 46069.7320591297. The cubic root of 2122420212 is about 1285.1203210119.

Adding to 2122420212 its reverse (2120242212), we get a palindrome (4242662424).

The spelling of 2122420212 in words is "two billion, one hundred twenty-two million, four hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 659 1188 1318 1977 2636 2711 3954 5422 5931 7249 7908 8133 10844 11862 14498 16266 17793 21747 23724 24399 28996 29821 32532 35586 43494 48798 59642 65241 71172 73197 86988 89463 97596 119284 130482 146394 178926 195723 260964 268389 292788 357852 391446 536778 782892 805167 1073556 1610334 1786549 3220668 3573098 5359647 7146196 10719294 16078941 19652039 21438588 32157882 39304078 48236823 58956117 64315764 78608156 96473646 117912234 176868351 192947292 235824468 353736702 530605053 707473404 1061210106 2122420212