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2272356 = 2232174779
BaseRepresentation
bin1000101010110001100100
311021110002100
420222301210
51040203411
6120412100
725212642
oct10526144
94243070
102272356
111312289
12917030
136173b8
14432192
152ed456
hex22ac64

2272356 has 72 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 688896.

The previous prime is 2272351. The next prime is 2272357. The reversal of 2272356 is 6532722.

It is not an unprimeable number, because it can be changed into a prime (2272351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28725 + ... + 28803.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22272356 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 2272356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2272356 is an abundant number, since it is smaller than the sum of its proper divisors (4017564).

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

2272356 is a wasteful number, since it uses less digits than its factorization.

2272356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 2272356 is about 1507.4335806264. The cubic root of 2272356 is about 131.4696349769.

It can be divided in two parts, 2272 and 356, that added together give a triangular number (2628 = T72).

The spelling of 2272356 in words is "two million, two hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 79 94 102 141 153 158 188 204 237 282 306 316 423 474 564 612 711 799 846 948 1343 1422 1598 1692 2397 2686 2844 3196 3713 4029 4794 5372 7191 7426 8058 9588 11139 12087 14382 14852 16116 22278 24174 28764 33417 44556 48348 63121 66834 126242 133668 189363 252484 378726 568089 757452 1136178 2272356