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10223331330 = 23519111716057
BaseRepresentation
bin10011000010101101…
…11010100000000010
3222101111000001010010
421201112322200002
5131414133100310
64410241245350
7511225611462
oct114126724002
928344001103
1010223331330
114376893163
121b93933856
13c6c0532a4
146cda99ba2
153ec7c5320
hex2615ba802

10223331330 has 64 divisors (see below), whose sum is σ = 25852095360. Its totient is φ = 2580263424.

The previous prime is 10223331329. The next prime is 10223331347. The reversal of 10223331330 is 3313332201.

It is a junction number, because it is equal to n+sod(n) for n = 10223331297 and 10223331306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628662 + ... + 644718.

It is an arithmetic number, because the mean of its divisors is an integer number (403938990).

Almost surely, 210223331330 is an apocalyptic number.

10223331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223331330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926047680).

10223331330 is an abundant number, since it is smaller than the sum of its proper divisors (15628764030).

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

10223331330 is a wasteful number, since it uses less digits than its factorization.

10223331330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17203.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10223331330 its reverse (3313332201), we get a palindrome (13536663531).

The spelling of 10223331330 in words is "ten billion, two hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1117 2234 3351 5585 6702 11170 16057 16755 21223 32114 33510 42446 48171 63669 80285 96342 106115 127338 160570 212230 240855 305083 318345 481710 610166 636690 915249 1525415 1830498 3050830 4576245 9152490 17935669 35871338 53807007 89678345 107614014 179356690 269035035 340777711 538070070 681555422 1022333133 1703888555 2044666266 3407777110 5111665665 10223331330