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10222213032 = 2332535945403
BaseRepresentation
bin10011000010100101…
…01001011110101000
3222101101220020002200
421201102221132220
5131413341304112
64410201300200
7511213243233
oct114122513650
928341806080
1010222213032
114376199a49
121b93494660
13c6ba51285
146cd88841a
153ec653cdc
hex2614a97a8

10222213032 has 96 divisors (see below), whose sum is σ = 28686247200. Its totient is φ = 3286378368.

The previous prime is 10222213031. The next prime is 10222213037. The reversal of 10222213032 is 23031222201.

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 = 10222212996 and 10222213014.

It is not an unprimeable number, because it can be changed into a prime (10222213031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202443 + ... + 247845.

It is an arithmetic number, because the mean of its divisors is an integer number (298815075).

Almost surely, 210222213032 is an apocalyptic number.

10222213032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222213032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343123600).

10222213032 is an abundant number, since it is smaller than the sum of its proper divisors (18464034168).

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

10222213032 is a wasteful number, since it uses less digits than its factorization.

10222213032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45527 (or 45520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222213032 its reverse (23031222201), we get a palindrome (33253435233).

The spelling of 10222213032 in words is "ten billion, two hundred twenty-two million, two hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 59 72 106 118 159 177 212 236 318 354 424 472 477 531 636 708 954 1062 1272 1416 1908 2124 3127 3816 4248 6254 9381 12508 18762 25016 28143 37524 45403 56286 75048 90806 112572 136209 181612 225144 272418 363224 408627 544836 817254 1089672 1634508 2406359 2678777 3269016 4812718 5357554 7219077 8036331 9625436 10715108 14438154 16072662 19250872 21430216 21657231 24108993 28876308 32145324 43314462 48217986 57752616 64290648 86628924 96435972 141975181 173257848 192871944 283950362 425925543 567900724 851851086 1135801448 1277776629 1703702172 2555553258 3407404344 5111106516 10222213032