Search a number
-
+
3230122112 = 27719318679
BaseRepresentation
bin1100000010000111…
…1100000010000000
322100010001012112022
43000201330002000
523103402401422
61252304421012
7143021404430
oct30041740200
98303035468
103230122112
111408357608
12761917768
133c6287279
14228dca2c0
1513d89d342
hexc087c080

3230122112 has 64 divisors (see below), whose sum is σ = 7392796800. Its totient is φ = 1377091584.

The previous prime is 3230122073. The next prime is 3230122121. The reversal of 3230122112 is 2112210323.

It is a tau number, because it is divible by the number of its divisors (64).

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, 163589 + ... + 182267.

It is an arithmetic number, because the mean of its divisors is an integer number (115512450).

Almost surely, 23230122112 is an apocalyptic number.

3230122112 is a gapful number since it is divisible by the number (32) 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 3230122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696398400).

3230122112 is an abundant number, since it is smaller than the sum of its proper divisors (4162674688).

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

3230122112 is a wasteful number, since it uses less digits than its factorization.

3230122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18893 (or 18881 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3230122112 is about 56834.1632471175. The cubic root of 3230122112 is about 1478.2219504410.

Adding to 3230122112 its reverse (2112210323), we get a palindrome (5342332435).

The spelling of 3230122112 in words is "three billion, two hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 193 224 386 448 772 896 1351 1544 2702 3088 5404 6176 10808 12352 18679 21616 24704 37358 43232 74716 86464 130753 149432 172928 261506 298864 523012 597728 1046024 1195456 2092048 2390912 3605047 4184096 7210094 8368192 14420188 16736384 25235329 28840376 50470658 57680752 100941316 115361504 201882632 230723008 403765264 461446016 807530528 1615061056 3230122112