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10223213320 = 235719193917
BaseRepresentation
bin10011000010101100…
…11101101100001000
3222101110210001020101
421201112131230020
5131414120311240
64410234535144
7511224610435
oct114126355410
928343701211
1010223213320
114376812531
121b938974b4
13c6c011668
146cda68b8c
153ec7a039a
hex26159db08

10223213320 has 64 divisors (see below), whose sum is σ = 23357548800. Its totient is φ = 4026274560.

The previous prime is 10223213317. The next prime is 10223213323. The reversal of 10223213320 is 2331232201.

It is an interprime number because it is at equal distance from previous prime (10223213317) and next prime (10223213323).

It is not an unprimeable number, because it can be changed into a prime (10223213323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2608002 + ... + 2611918.

It is an arithmetic number, because the mean of its divisors is an integer number (364961700).

Almost surely, 210223213320 is an apocalyptic number.

10223213320 is a gapful number since it is divisible by the number (10) 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 10223213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11678774400).

10223213320 is an abundant number, since it is smaller than the sum of its proper divisors (13134335480).

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

10223213320 is a wasteful number, since it uses less digits than its factorization.

10223213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4918 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10223213320 its reverse (2331232201), we get a palindrome (12554445521).

The spelling of 10223213320 in words is "ten billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 919 1420 1838 2840 3676 3917 4595 7352 7834 9190 15668 18380 19585 31336 36760 39170 65249 78340 130498 156680 260996 278107 326245 521992 556214 652490 1112428 1304980 1390535 2224856 2609960 2781070 3599723 5562140 7199446 11124280 14398892 17998615 28797784 35997230 71994460 143988920 255580333 511160666 1022321332 1277901665 2044642664 2555803330 5111606660 10223213320