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2232144 = 24335167
BaseRepresentation
bin1000100000111101010000
311012101221000
420200331100
51032412034
6115502000
724654465
oct10407520
94171830
102232144
111295052
128b7900
13601cc5
1442166c
152e1599
hex220f50

2232144 has 40 divisors (see below), whose sum is σ = 6408320. Its totient is φ = 743904.

The previous prime is 2232133. The next prime is 2232157. The reversal of 2232144 is 4412322.

2232144 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 3×22321443 = 33364750364457725952, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2152 + ... + 3015.

It is an arithmetic number, because the mean of its divisors is an integer number (160208).

22232144 is an apocalyptic number.

2232144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232144 is an abundant number, since it is smaller than the sum of its proper divisors (4176176).

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

2232144 is a wasteful number, since it uses less digits than its factorization.

2232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5172 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2232144 is about 1494.0361441411. The cubic root of 2232144 is about 130.6895119480.

Adding to 2232144 its reverse (4412322), we get a palindrome (6644466).

The spelling of 2232144 in words is "two million, two hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 5167 10334 15501 20668 31002 41336 46503 62004 82672 93006 124008 139509 186012 248016 279018 372024 558036 744048 1116072 2232144