Search a number
-
+
232102100 = 225219151809
BaseRepresentation
bin11011101010110…
…01100011010100
3121011202000020002
431311121203110
5433404231400
635010430432
75515556336
oct1565314324
9534660202
10232102100
1110a01981a
1265892418
1339117029
1422b7b456
151559aed5
hexdd598d4

232102100 has 72 divisors (see below), whose sum is σ = 534340800. Its totient is φ = 87264000.

The previous prime is 232102069. The next prime is 232102103. The reversal of 232102100 is 1201232.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286496 + ... + 287304.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2232102100 is an apocalyptic number.

232102100 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 232102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

232102100 is an abundant number, since it is smaller than the sum of its proper divisors (302238700).

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

232102100 is a wasteful number, since it uses less digits than its factorization.

232102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 232102100 is about 15234.8974397598. The cubic root of 232102100 is about 614.5534908680.

Adding to 232102100 its reverse (1201232), we get a palindrome (233303332).

The spelling of 232102100 in words is "two hundred thirty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 151 190 302 380 475 604 755 809 950 1510 1618 1900 2869 3020 3236 3775 4045 5738 7550 8090 11476 14345 15100 15371 16180 20225 28690 30742 40450 57380 61484 71725 76855 80900 122159 143450 153710 244318 286900 307420 384275 488636 610795 768550 1221590 1537100 2321021 2443180 3053975 4642042 6107950 9284084 11605105 12215900 23210210 46420420 58025525 116051050 232102100