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212268276 = 22351119853
BaseRepresentation
bin11001010011011…
…11010011110100
3112210102100100000
430221233103310
5413320041101
633021351300
75155151643
oct1451572364
9483370300
10212268276
11a9902330
125b108530
1334c9143c
142029735a
151397e486
hexca6f4f4

212268276 has 72 divisors (see below), whose sum is σ = 607055904. Its totient is φ = 64320480.

The previous prime is 212268269. The next prime is 212268283. The reversal of 212268276 is 672862212.

It is an interprime number because it is at equal distance from previous prime (212268269) and next prime (212268283).

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

It is a self number, because there is not a number n which added to its sum of digits gives 212268276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766 + ... + 20618.

It is an arithmetic number, because the mean of its divisors is an integer number (8431332).

Almost surely, 2212268276 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 212268276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303527952).

212268276 is an abundant number, since it is smaller than the sum of its proper divisors (394787628).

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

212268276 is a wasteful number, since it uses less digits than its factorization.

212268276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19883 (or 19869 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 212268276 is about 14569.4295015282. The cubic root of 212268276 is about 596.5246082883.

The spelling of 212268276 in words is "two hundred twelve million, two hundred sixty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 19853 39706 59559 79412 119118 178677 218383 238236 357354 436766 536031 655149 714708 873532 1072062 1310298 1608093 1965447 2144124 2620596 3216186 3930894 4824279 5896341 6432372 7861788 9648558 11792682 17689023 19297116 23585364 35378046 53067069 70756092 106134138 212268276