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2232420 = 2235291283
BaseRepresentation
bin1000100001000001100100
311012102022020
420201001210
51032414140
6115503140
724655341
oct10410144
94172266
102232420
111295283
128b7ab0
13602178
144217c8
152e16d0
hex221064

2232420 has 48 divisors (see below), whose sum is σ = 6471360. Its totient is φ = 574336.

The previous prime is 2232401. The next prime is 2232421. The reversal of 2232420 is 242322.

It is a super-3 number, since 3×22324203 = 33377128342465464000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2232420.

It is not an unprimeable number, because it can be changed into a prime (2232421) 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, 1099 + ... + 2381.

It is an arithmetic number, because the mean of its divisors is an integer number (134820).

22232420 is an apocalyptic number.

2232420 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 2232420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235680).

2232420 is an abundant number, since it is smaller than the sum of its proper divisors (4238940).

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

2232420 is a wasteful number, since it uses less digits than its factorization.

2232420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2232420 is about 1494.1285085293. The cubic root of 2232420 is about 130.6948982222.

Adding to 2232420 its reverse (242322), we get a palindrome (2474742).

The spelling of 2232420 in words is "two million, two hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1283 1740 2566 3849 5132 6415 7698 12830 15396 19245 25660 37207 38490 74414 76980 111621 148828 186035 223242 372070 446484 558105 744140 1116210 2232420