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2121144 = 233312851
BaseRepresentation
bin1000000101110110111000
310222202122220
420011312320
51020334034
6113244040
724013044
oct10056670
93882586
102121144
111219713
12863620
1359361c
143d3024
152bd749
hex205db8

2121144 has 32 divisors (see below), whose sum is σ = 5475840. Its totient is φ = 684000.

The previous prime is 2121143. The next prime is 2121167. The reversal of 2121144 is 4411212.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 682 + ... + 2169.

It is an arithmetic number, because the mean of its divisors is an integer number (171120).

22121144 is an apocalyptic number.

2121144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121144 is an abundant number, since it is smaller than the sum of its proper divisors (3354696).

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

2121144 is a wasteful number, since it uses less digits than its factorization.

2121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2887 counting only the distinct ones).

The product of its digits is 64, while the sum is 15.

The square root of 2121144 is about 1456.4147760854. The cubic root of 2121144 is about 128.4862688271.

Adding to 2121144 its reverse (4411212), we get a palindrome (6532356).

The spelling of 2121144 in words is "two million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 2851 5702 8553 11404 17106 22808 34212 68424 88381 176762 265143 353524 530286 707048 1060572 2121144