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232331230022320 = 245111320308673953
BaseRepresentation
bin110100110100110111010100…
…011011111000101010110000
31010110121122111212220012120001
4310310313110123320222300
5220423003324341203240
62142043254342355344
766636243315162262
oct6464672433705260
91113548455805501
10232331230022320
1168034137537490
1222083422a2bb54
139c83982c2c830
144152c6a513b32
151bcd7060e989a
hexd34dd46f8ab0

232331230022320 has 80 divisors (see below), whose sum is σ = 634605443714592. Its totient is φ = 77985307975680.

The previous prime is 232331230022317. The next prime is 232331230022323. The reversal of 232331230022320 is 23220032133232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (232331230022317) and next prime (232331230022323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2323312300223202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232331230022323) 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, 10154325537 + ... + 10154348416.

Almost surely, 2232331230022320 is an apocalyptic number.

232331230022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232331230022320 is an abundant number, since it is smaller than the sum of its proper divisors (402274213692272).

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

232331230022320 is a wasteful number, since it uses less digits than its factorization.

232331230022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20308673990 (or 20308673984 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 232331230022320 its reverse (23220032133232), we get a palindrome (255551262155552).

The spelling of 232331230022320 in words is "two hundred thirty-two trillion, three hundred thirty-one billion, two hundred thirty million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 20308673953 40617347906 81234695812 101543369765 162469391624 203086739530 223395413483 264012761389 324938783248 406173479060 446790826966 528025522778 812346958120 893581653932 1056051045556 1116977067415 1320063806945 1624693916240 1787163307864 2112102091112 2233954134830 2640127613890 2904140375279 3574326615728 4224204182224 4467908269660 5280255227780 5808280750558 8935816539320 10560510455560 11616561501116 14520701876395 17871633078640 21121020911120 23233123002232 29041403752790 46466246004464 58082807505580 116165615011160 232331230022320