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213213233232 = 24331729032303
BaseRepresentation
bin1100011010010001111…
…1111100000001010000
3202101100012022110222000
43012210133330001100
511443130041430412
6241540535314000
721255423402606
oct3064437740120
9671305273860
10213213233232
118247234796a
12353a481b900
131714b92c58c
14a468cb5876
15582d4964dc
hex31a47fc050

213213233232 has 80 divisors (see below), whose sum is σ = 648001025280. Its totient is φ = 66890423808.

The previous prime is 213213233213. The next prime is 213213233257. The reversal of 213213233232 is 232332312312.

213213233232 is a `hidden beast` number, since 2 + 1 + 321 + 3 + 2 + 332 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 213213233196 and 213213233205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14508808 + ... + 14523495.

It is an arithmetic number, because the mean of its divisors is an integer number (8100012816).

Almost surely, 2213213233232 is an apocalyptic number.

It is an amenable number.

213213233232 is an abundant number, since it is smaller than the sum of its proper divisors (434787792048).

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

213213233232 is a wasteful number, since it uses less digits than its factorization.

213213233232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29032337 (or 29032325 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 213213233232 its reverse (232332312312), we get a palindrome (445545545544).

The spelling of 213213233232 in words is "two hundred thirteen billion, two hundred thirteen million, two hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 29032303 58064606 87096909 116129212 174193818 232258424 261290727 348387636 464516848 493549151 522581454 696775272 783872181 987098302 1045162908 1393550544 1480647453 1567744362 1974196604 2090325816 2961294906 3135488724 3948393208 4180651632 4441942359 5922589812 6270977448 7896786416 8883884718 11845179624 12541954896 13325827077 17767769436 23690359248 26651654154 35535538872 53303308308 71071077744 106606616616 213213233232