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3232252420 = 2252917332213
BaseRepresentation
bin1100000010101000…
…0100001000000100
322100021001102202121
43000222010020010
523104424034140
61252422215324
7143045456305
oct30052041004
98307042677
103232252420
1114095820a1
12762584544
133c6851ac7
142293c27ac
1513db6e64a
hexc0a84204

3232252420 has 48 divisors (see below), whose sum is σ = 7062597360. Its totient is φ = 1241063936.

The previous prime is 3232252411. The next prime is 3232252421. The reversal of 3232252420 is 242522323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 600152004 + 2632100416 = 24498^2 + 51304^2 .

It is not an unprimeable number, because it can be changed into a prime (3232252421) 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, 84234 + ... + 116446.

It is an arithmetic number, because the mean of its divisors is an integer number (147137445).

Almost surely, 23232252420 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 3232252420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531298680).

3232252420 is an abundant number, since it is smaller than the sum of its proper divisors (3830344940).

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

3232252420 is a wasteful number, since it uses less digits than its factorization.

3232252420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32424 (or 32422 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3232252420 is about 56852.9015970161. The cubic root of 3232252420 is about 1478.5468479637.

Adding to 3232252420 its reverse (242522323), we get a palindrome (3474774743).

The spelling of 3232252420 in words is "three billion, two hundred thirty-two million, two hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 692 865 1730 3460 5017 10034 20068 25085 32213 50170 64426 100340 128852 161065 322130 644260 934177 1868354 3736708 4670885 5572849 9341770 11145698 18683540 22291396 27864245 55728490 111456980 161612621 323225242 646450484 808063105 1616126210 3232252420