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232242100 = 225217672039
BaseRepresentation
bin11011101011110…
…11101110110100
3121012000010021021
431311323232310
5433423221400
635013430524
75520011446
oct1565735664
9535003237
10232242100
1110a104a22
126593b444
133916597c
1422bb6496
15155c771a
hexdd7bbb4

232242100 has 72 divisors (see below), whose sum is σ = 541840320. Its totient is φ = 86085120.

The previous prime is 232242091. The next prime is 232242133. The reversal of 232242100 is 1242232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112881 + ... + 114919.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2232242100 is an apocalyptic number.

232242100 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 232242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270920160).

232242100 is an abundant number, since it is smaller than the sum of its proper divisors (309598220).

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

232242100 is a wasteful number, since it uses less digits than its factorization.

232242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232242100 is about 15239.4914613316. The cubic root of 232242100 is about 614.6770287359.

Adding to 232242100 its reverse (1242232), we get a palindrome (233484332).

The spelling of 232242100 in words is "two hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 67 68 85 100 134 170 268 335 340 425 670 850 1139 1340 1675 1700 2039 2278 3350 4078 4556 5695 6700 8156 10195 11390 20390 22780 28475 34663 40780 50975 56950 69326 101950 113900 136613 138652 173315 203900 273226 346630 546452 683065 693260 866575 1366130 1733150 2322421 2732260 3415325 3466300 4644842 6830650 9289684 11612105 13661300 23224210 46448420 58060525 116121050 232242100