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2255436 = 2232314347
BaseRepresentation
bin1000100110101001001100
311020120212200
420212221030
51034133221
6120201500
725112421
oct10465114
94216780
102255436
1113005a7
12909290
1360c7a1
14429d48
152e8426
hex226a4c

2255436 has 72 divisors (see below), whose sum is σ = 6150144. Its totient is φ = 695520.

The previous prime is 2255419. The next prime is 2255437. The reversal of 2255436 is 6345522.

2255436 is a `hidden beast` number, since 225 + 5 + 436 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255437) 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, 47965 + ... + 48011.

22255436 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 2255436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075072).

2255436 is an abundant number, since it is smaller than the sum of its proper divisors (3894708).

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

2255436 is a wasteful number, since it uses less digits than its factorization.

2255436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 126 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 2255436 is about 1501.8109068721. The cubic root of 2255436 is about 131.1425133588.

The spelling of 2255436 in words is "two million, two hundred fifty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 47 62 86 93 94 124 129 141 172 186 188 258 279 282 372 387 423 516 558 564 774 846 1116 1333 1457 1548 1692 2021 2666 2914 3999 4042 4371 5332 5828 6063 7998 8084 8742 11997 12126 13113 15996 17484 18189 23994 24252 26226 36378 47988 52452 62651 72756 125302 187953 250604 375906 563859 751812 1127718 2255436