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2232540 = 2232579157
BaseRepresentation
bin1000100001000011011100
311012102110200
420201003130
51032420130
6115503500
724655602
oct10410334
94172420
102232540
111295382
128b7b90
1360223b
14421872
152e1760
hex2210dc

2232540 has 72 divisors (see below), whose sum is σ = 6901440. Its totient is φ = 584064.

The previous prime is 2232523. The next prime is 2232551. The reversal of 2232540 is 452322.

It is a super-3 number, since 3×22325403 = 33382511026773192000, which contains 333 as substring.

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

It is a d-powerful number, because it can be written as 214 + 216 + 313 + 219 + 56 + 47 + 0 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14142 + ... + 14298.

22232540 is an apocalyptic number.

2232540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450720).

2232540 is an abundant number, since it is smaller than the sum of its proper divisors (4668900).

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

2232540 is a wasteful number, since it uses less digits than its factorization.

2232540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2232540 is about 1494.1686651781. The cubic root of 2232540 is about 130.6972399421.

Adding to 2232540 its reverse (452322), we get a palindrome (2684862).

It can be divided in two parts, 2232 and 540, that added together give a palindrome (2772).

The spelling of 2232540 in words is "two million, two hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 157 158 180 237 314 316 395 471 474 628 711 785 790 942 948 1185 1413 1422 1570 1580 1884 2355 2370 2826 2844 3140 3555 4710 4740 5652 7065 7110 9420 12403 14130 14220 24806 28260 37209 49612 62015 74418 111627 124030 148836 186045 223254 248060 372090 446508 558135 744180 1116270 2232540