Search a number
-
+
232100040 = 23351934167
BaseRepresentation
bin11011101010110…
…01000011001000
3121011201220101210
431311121003020
5433404200130
635010413120
75515550334
oct1565310310
9534656353
10232100040
1110a018217
12658911a0
1339116103
1422b7a7c4
151559a5b0
hexdd590c8

232100040 has 32 divisors (see below), whose sum is σ = 696300480. Its totient is φ = 61893312.

The previous prime is 232100039. The next prime is 232100047. The reversal of 232100040 is 40001232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 232099989 and 232100025.

It is not an unprimeable number, because it can be changed into a prime (232100047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 966964 + ... + 967203.

It is an arithmetic number, because the mean of its divisors is an integer number (21759390).

Almost surely, 2232100040 is an apocalyptic number.

232100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232100040 is an abundant number, since it is smaller than the sum of its proper divisors (464200440).

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

232100040 is a wasteful number, since it uses less digits than its factorization.

232100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934181 (or 1934177 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 232100040 is about 15234.8298316719. The cubic root of 232100040 is about 614.5516727257.

Adding to 232100040 its reverse (40001232), we get a palindrome (272101272).

The spelling of 232100040 in words is "two hundred thirty-two million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1934167 3868334 5802501 7736668 9670835 11605002 15473336 19341670 23210004 29012505 38683340 46420008 58025010 77366680 116050020 232100040