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232213201120 = 2555212785667
BaseRepresentation
bin1101100001000011111…
…1000100000011100000
3211012101100002212001101
43120100333010003200
512301033034413440
6254402142444144
722530313433155
oct3302077040340
9735340085041
10232213201120
118a532330a6a
1239007893654
1318b89088524
14b34c44222c
15609152669a
hex3610fc40e0

232213201120 has 48 divisors (see below), whose sum is σ = 549656867088. Its totient is φ = 92706964480.

The previous prime is 232213201117. The next prime is 232213201123. The reversal of 232213201120 is 21102312232.

It is an interprime number because it is at equal distance from previous prime (232213201117) and next prime (232213201123).

It is a super-3 number, since 3×2322132011203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213201123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309474 + ... + 1476193.

It is an arithmetic number, because the mean of its divisors is an integer number (11451184731).

Almost surely, 2232213201120 is an apocalyptic number.

232213201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232213201120 is an abundant number, since it is smaller than the sum of its proper divisors (317443665968).

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

232213201120 is a wasteful number, since it uses less digits than its factorization.

232213201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786203 (or 2786195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 232213201120 its reverse (21102312232), we get a palindrome (253315513352).

The spelling of 232213201120 in words is "two hundred thirty-two billion, two hundred thirteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 521 1042 2084 2605 4168 5210 8336 10420 16672 20840 41680 83360 2785667 5571334 11142668 13928335 22285336 27856670 44570672 55713340 89141344 111426680 222853360 445706720 1451332507 2902665014 5805330028 7256662535 11610660056 14513325070 23221320112 29026650140 46442640224 58053300280 116106600560 232213201120