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2255715 = 335721131
BaseRepresentation
bin1000100110101101100011
311020121021000
420212231203
51034140330
6120203043
725113300
oct10465543
94217230
102255715
111300830
12909483
1360c957
1442a0a7
152e8560
hex226b63

2255715 has 96 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 907200.

The previous prime is 2255681. The next prime is 2255717. The reversal of 2255715 is 5175522.

It is a happy number.

2255715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2255715 - 28 = 2255459 is a prime.

It is a super-2 number, since 2×22557152 = 10176500322450, which contains 22 as substring.

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

Its product of digits (3500) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72750 + ... + 72780.

It is an arithmetic number, because the mean of its divisors is an integer number (54720).

22255715 is an apocalyptic number.

2255715 is an abundant number, since it is smaller than the sum of its proper divisors (2997405).

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

2255715 is a wasteful number, since it uses less digits than its factorization.

2255715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 2255715 is about 1501.9037918589. The cubic root of 2255715 is about 131.1479206286.

The spelling of 2255715 in words is "two million, two hundred fifty-five thousand, seven hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 27 31 33 35 45 49 55 63 77 93 99 105 135 147 155 165 189 217 231 245 279 297 315 341 385 441 465 495 539 651 693 735 837 945 1023 1085 1155 1323 1395 1485 1519 1617 1705 1953 2079 2205 2387 2695 3069 3255 3465 4185 4557 4851 5115 5859 6615 7161 7595 8085 9207 9765 10395 11935 13671 14553 15345 16709 21483 22785 24255 29295 35805 41013 46035 50127 64449 68355 72765 83545 107415 150381 205065 250635 322245 451143 751905 2255715