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2248956 = 2232179349
BaseRepresentation
bin1000100101000011111100
311020020222200
420211003330
51033431311
6120111500
725054503
oct10450374
94206880
102248956
1112a6746
12905590
13609858
1442783a
152e6556
hex2250fc

2248956 has 36 divisors (see below), whose sum is σ = 5733000. Its totient is φ = 743328.

The previous prime is 2248951. The next prime is 2248969. The reversal of 2248956 is 6598422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 2248956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6270 + ... + 6618.

It is an arithmetic number, because the mean of its divisors is an integer number (159250).

22248956 is an apocalyptic number.

It is an amenable number.

2248956 is an abundant number, since it is smaller than the sum of its proper divisors (3484044).

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

2248956 is a wasteful number, since it uses less digits than its factorization.

2248956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2248956 is about 1499.6519596226. The cubic root of 2248956 is about 131.0167995082.

It can be divided in two parts, 224 and 8956, that added together give a triangular number (9180 = T135).

The spelling of 2248956 in words is "two million, two hundred forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 179 349 358 537 698 716 1047 1074 1396 1611 2094 2148 3141 3222 4188 6282 6444 12564 62471 124942 187413 249884 374826 562239 749652 1124478 2248956