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212222268 = 22342712417
BaseRepresentation
bin11001010011001…
…00000100111100
3112210100000020000
430221210010330
5413312103033
633020354300
75154600546
oct1451440474
9483300200
10212222268
11a9880805
125b0a5990
1334c7650b
1420284696
1513970a13
hexca6413c

212222268 has 60 divisors (see below), whose sum is σ = 557068512. Its totient is φ = 70450560.

The previous prime is 212222189. The next prime is 212222291. The reversal of 212222268 is 862222212.

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 19 ways as a sum of consecutive naturals, for example, 86596 + ... + 89012.

Almost surely, 2212222268 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 212222268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278534256).

212222268 is an abundant number, since it is smaller than the sum of its proper divisors (344846244).

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

212222268 is a wasteful number, since it uses less digits than its factorization.

212222268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2693 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 212222268 is about 14567.8504934668. The cubic root of 212222268 is about 596.4815073474.

The spelling of 212222268 in words is "two hundred twelve million, two hundred twenty-two thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 2417 2439 3252 4834 4878 7251 7317 9668 9756 14502 14634 21753 21951 29004 29268 43506 43902 65259 87012 87804 130518 195777 261036 391554 655007 783108 1310014 1965021 2620028 3930042 5895063 7860084 11790126 17685189 23580252 35370378 53055567 70740756 106111134 212222268