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232142232 = 23371399941
BaseRepresentation
bin11011101011000…
…11010110011000
3121011211001021110
431311203112120
5433412022412
635011340320
75516114340
oct1565432630
9534731243
10232142232
1110a046993
12658b16a0
133912c38a
1422b8bd20
15155a7d3c
hexdd63598

232142232 has 64 divisors (see below), whose sum is σ = 668102400. Its totient is φ = 65842560.

The previous prime is 232142221. The next prime is 232142237. The reversal of 232142232 is 232241232.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 232142199 and 232142208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232142237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18382 + ... + 28322.

It is an arithmetic number, because the mean of its divisors is an integer number (10439100).

Almost surely, 2232142232 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 232142232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334051200).

232142232 is an abundant number, since it is smaller than the sum of its proper divisors (435960168).

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

232142232 is a wasteful number, since it uses less digits than its factorization.

232142232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10096 (or 10092 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 232142232 is about 15236.2144904829. The cubic root of 232142232 is about 614.5889089582.

Adding to 232142232 its reverse (232241232), we get a palindrome (464383464).

The spelling of 232142232 in words is "two hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 278 417 556 834 973 1112 1668 1946 2919 3336 3892 5838 7784 9941 11676 19882 23352 29823 39764 59646 69587 79528 119292 139174 208761 238584 278348 417522 556696 835044 1381799 1670088 2763598 4145397 5527196 8290794 9672593 11054392 16581588 19345186 29017779 33163176 38690372 58035558 77380744 116071116 232142232