Search a number
-
+
222300323220 = 2235167136116301
BaseRepresentation
bin1100111100001000100…
…0011011110110010100
3210020210111021110222110
43033002020123312110
512120232340320340
6250042351231020
722026544366413
oct3170210336624
9706714243873
10222300323220
1186305812098
12370bbb18470
1317c694530c1
14aa8babb47a
155bb1127680
hex33c221bd94

222300323220 has 96 divisors (see below), whose sum is σ = 626666616576. Its totient is φ = 58878208000.

The previous prime is 222300323093. The next prime is 222300323227. The reversal of 222300323220 is 22323003222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222300323227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13629070 + ... + 13645370.

It is an arithmetic number, because the mean of its divisors is an integer number (6527777256).

Almost surely, 2222300323220 is an apocalyptic number.

222300323220 is a gapful number since it is divisible by the number (20) 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 222300323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313333308288).

222300323220 is an abundant number, since it is smaller than the sum of its proper divisors (404366293356).

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

222300323220 is a wasteful number, since it uses less digits than its factorization.

222300323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17841 (or 17839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 222300323220 its reverse (22323003222), we get a palindrome (244623326442).

The spelling of 222300323220 in words is "two hundred twenty-two billion, three hundred million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1361 1670 2004 2505 2722 3340 4083 5010 5444 6805 8166 10020 13610 16301 16332 20415 27220 32602 40830 48903 65204 81505 81660 97806 163010 195612 227287 244515 326020 454574 489030 681861 909148 978060 1136435 1363722 2272870 2722267 2727444 3409305 4545740 5444534 6818610 8166801 10889068 13611335 13637220 16333602 22185661 27222670 32667204 40834005 44371322 54445340 66556983 81668010 88742644 110928305 133113966 163336020 221856610 266227932 332784915 443713220 665569830 1331139660 3705005387 7410010774 11115016161 14820021548 18525026935 22230032322 37050053870 44460064644 55575080805 74100107740 111150161610 222300323220