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10223023320 = 2332533738419
BaseRepresentation
bin10011000010101011…
…01111010011011000
3222101110102101121100
421201111233103120
5131414043221240
64410230511400
7511223156466
oct114125572330
928343371540
1010223023320
1143766a2804
121b93805560
13c6bc76033
146cda19836
153ec763e30
hex26156f4d8

10223023320 has 96 divisors (see below), whose sum is σ = 33238623600. Its totient is φ = 2725007616.

The previous prime is 10223023319. The next prime is 10223023333. The reversal of 10223023320 is 2332032201.

It is a happy number.

10223023320 is a `hidden beast` number, since 10 + 22 + 302 + 332 + 0 = 666.

10223023320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10223023293 and 10223023302.

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 23 ways as a sum of consecutive naturals, for example, 1210071 + ... + 1218489.

Almost surely, 210223023320 is an apocalyptic number.

10223023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10223023320 is an abundant number, since it is smaller than the sum of its proper divisors (23015600280).

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

10223023320 is a wasteful number, since it uses less digits than its factorization.

10223023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11809 (or 11802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10223023320 its reverse (2332032201), we get a palindrome (12555055521).

The spelling of 10223023320 in words is "ten billion, two hundred twenty-three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3373 6746 8419 10119 13492 16838 16865 20238 25257 26984 30357 33676 33730 40476 42095 50514 50595 60714 67352 67460 75771 80952 84190 101028 101190 121428 126285 134920 151542 151785 168380 202056 202380 242856 252570 303084 303570 336760 378855 404760 505140 606168 607140 757710 1010280 1214280 1515420 3030840 28397287 56794574 85191861 113589148 141986435 170383722 227178296 255575583 283972870 340767444 425959305 511151166 567945740 681534888 851918610 1022302332 1135891480 1277877915 1703837220 2044604664 2555755830 3407674440 5111511660 10223023320