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10223433234 = 2327120167559
BaseRepresentation
bin10011000010101110…
…10011011000010010
3222101111012012220100
421201113103120102
5131414144330414
64410243353230
7511226514540
oct114127233022
928344165810
1010223433234
114376952783
121b93982816
13c6c08a7a1
146cdac4d90
153ec7e5609
hex2615d3612

10223433234 has 48 divisors (see below), whose sum is σ = 25336621440. Its totient is φ = 2918505600.

The previous prime is 10223433179. The next prime is 10223433247. The reversal of 10223433234 is 43233432201.

10223433234 is a `hidden beast` number, since 1 + 0 + 223 + 433 + 2 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10223433198 and 10223433207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117547 + ... + 185105.

It is an arithmetic number, because the mean of its divisors is an integer number (527846280).

Almost surely, 210223433234 is an apocalyptic number.

10223433234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10223433234 is an abundant number, since it is smaller than the sum of its proper divisors (15113188206).

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

10223433234 is a wasteful number, since it uses less digits than its factorization.

10223433234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68775 (or 68772 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 10223433234 its reverse (43233432201), we get a palindrome (53456865435).

The spelling of 10223433234 in words is "ten billion, two hundred twenty-three million, four hundred thirty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1201 2402 3603 7206 8407 10809 16814 21618 25221 50442 67559 75663 135118 151326 202677 405354 472913 608031 945826 1216062 1418739 2837478 4256217 8512434 81138359 162276718 243415077 486830154 567968513 730245231 1135937026 1460490462 1703905539 3407811078 5111716617 10223433234