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233213332220 = 225117114930431
BaseRepresentation
bin1101100100110010011…
…0010000101011111100
3211021222001000202222222
43121030212100223330
512310110103112340
6255045311024512
722564146421241
oct3311446205374
9737861022888
10233213332220
118a9a59342a0
123924680b138
1318cb834028b
14b4051c55c8
1560ee2318b5
hex364c990afc

233213332220 has 48 divisors (see below), whose sum is σ = 541795516416. Its totient is φ = 83610408000.

The previous prime is 233213332217. The next prime is 233213332243. The reversal of 233213332220 is 22233312332.

233213332220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 233213332220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7449596 + ... + 7480835.

It is an arithmetic number, because the mean of its divisors is an integer number (11287406592).

Almost surely, 2233213332220 is an apocalyptic number.

233213332220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233213332220 is an abundant number, since it is smaller than the sum of its proper divisors (308582184196).

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

233213332220 is a wasteful number, since it uses less digits than its factorization.

233213332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14930522 (or 14930520 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 233213332220 its reverse (22233312332), we get a palindrome (255446644552).

The spelling of 233213332220 in words is "two hundred thirty-three billion, two hundred thirteen million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1420 1562 3124 3905 7810 15620 14930431 29860862 59721724 74652155 149304310 164234741 298608620 328469482 656938964 821173705 1060060601 1642347410 2120121202 3284694820 4240242404 5300303005 10600606010 11660666611 21201212020 23321333222 46642666444 58303333055 116606666110 233213332220