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2231988 = 2231137457
BaseRepresentation
bin1000100000111010110100
311012101201020
420200322310
51032410423
6115501140
724654153
oct10407264
94171636
102231988
111294a20
128b77b0
13601c05
1442159a
152e14e3
hex220eb4

2231988 has 48 divisors (see below), whose sum is σ = 5847744. Its totient is φ = 656640.

The previous prime is 2231941. The next prime is 2232017. The reversal of 2231988 is 8891322.

2231988 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22319883 = 33357755469900666816, which contains 333 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4656 + ... + 5112.

It is an arithmetic number, because the mean of its divisors is an integer number (121828).

22231988 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 2231988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2923872).

2231988 is an abundant number, since it is smaller than the sum of its proper divisors (3615756).

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

2231988 is a wasteful number, since it uses less digits than its factorization.

2231988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 2231988 is about 1493.9839356566. The cubic root of 2231988 is about 130.6864673358.

It can be divided in two parts, 223 and 1988, that added together give a triangular number (2211 = T66).

The spelling of 2231988 in words is "two million, two hundred thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 457 814 914 1221 1371 1628 1828 2442 2742 4884 5027 5484 10054 15081 16909 20108 30162 33818 50727 60324 67636 101454 185999 202908 371998 557997 743996 1115994 2231988