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2249961 = 37195639
BaseRepresentation
bin1000100101010011101001
311020022100220
420211103221
51033444321
6120120253
725060440
oct10452351
94208326
102249961
1112a747a
12906089
1360a14c
14427d57
152e69c6
hex2254e9

2249961 has 16 divisors (see below), whose sum is σ = 3609600. Its totient is φ = 1217808.

The previous prime is 2249959. The next prime is 2249963. The reversal of 2249961 is 1699422.

It is an interprime number because it is at equal distance from previous prime (2249959) and next prime (2249963).

It is not a de Polignac number, because 2249961 - 21 = 2249959 is a prime.

It is a Curzon number.

2249961 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (225600).

22249961 is an apocalyptic number.

2249961 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2249961 is a deficient number, since it is larger than the sum of its proper divisors (1359639).

2249961 is a wasteful number, since it uses less digits than its factorization.

2249961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668.

The product of its digits is 7776, while the sum is 33.

The square root of 2249961 is about 1499.9869999437. The cubic root of 2249961 is about 131.0363126030.

The spelling of 2249961 in words is "two million, two hundred forty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 7 19 21 57 133 399 5639 16917 39473 107141 118419 321423 749987 2249961