[go: up one dir, main page]

Search a number
-
+
232212120 = 23357276443
BaseRepresentation
bin11011101011101…
…00011010011000
3121011221121010220
431311310122120
5433421241440
635013040040
75516525160
oct1565643230
9534847126
10232212120
1110a094448
1265926020
133915512a
1422ba95a0
15155bd8d0
hexdd74698

232212120 has 64 divisors (see below), whose sum is σ = 796158720. Its totient is φ = 53076864.

The previous prime is 232212107. The next prime is 232212121. The reversal of 232212120 is 21212232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232212121) 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, 137382 + ... + 139061.

It is an arithmetic number, because the mean of its divisors is an integer number (12439980).

Almost surely, 2232212120 is an apocalyptic number.

232212120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232212120 is an abundant number, since it is smaller than the sum of its proper divisors (563946600).

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

232212120 is a wasteful number, since it uses less digits than its factorization.

232212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276464 (or 276460 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 232212120 is about 15238.5078009627. The cubic root of 232212120 is about 614.6505781622.

Adding to 232212120 its reverse (21212232), we get a palindrome (253424352).

The spelling of 232212120 in words is "two hundred thirty-two million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 276443 552886 829329 1105772 1382215 1658658 1935101 2211544 2764430 3317316 3870202 4146645 5528860 5805303 6634632 7740404 8293290 9675505 11057720 11610606 15480808 16586580 19351010 23221212 29026515 33173160 38702020 46442424 58053030 77404040 116106060 232212120