Search a number
-
+
332668100 = 225215122031
BaseRepresentation
bin10011110101000…
…001110011000100
3212011222021211202
4103311001303010
51140130334400
653002122032
711146426562
oct2365016304
9764867752
10332668100
11160867516
12934b0318
1353bc833b
1432278a32
151e3134d5
hex13d41cc4

332668100 has 36 divisors (see below), whose sum is σ = 726703488. Its totient is φ = 132180000.

The previous prime is 332668097. The next prime is 332668111. The reversal of 332668100 is 1866233.

It is a super-2 number, since 2×3326681002 = 221336129515220000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4085 + ... + 26115.

It is an arithmetic number, because the mean of its divisors is an integer number (20186208).

Almost surely, 2332668100 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 332668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363351744).

332668100 is an abundant number, since it is smaller than the sum of its proper divisors (394035388).

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

332668100 is a wasteful number, since it uses less digits than its factorization.

332668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 22189 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 332668100 is about 18239.1913197927. The cubic root of 332668100 is about 692.8997201413.

The spelling of 332668100 in words is "three hundred thirty-two million, six hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 604 755 1510 3020 3775 7550 15100 22031 44062 88124 110155 220310 440620 550775 1101550 2203100 3326681 6653362 13306724 16633405 33266810 66533620 83167025 166334050 332668100