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223620223225 = 52725922292
BaseRepresentation
bin1101000001000011001…
…1011101000011111001
3210101012110220100101211
43100100303131003321
512130433234120400
6250421341243121
722104342351400
oct3202063350371
9711173810354
10223620223225
1186922871543
1237409b634a1
1318119a37b19
14ab750dc637
155c3be48dba
hex3410cdd0f9

223620223225 has 81 divisors (see below), whose sum is σ = 329559655437. Its totient is φ = 150082349760.

The previous prime is 223620223199. The next prime is 223620223241. The reversal of 223620223225 is 522322026322.

The square root of 223620223225 is 472885.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30519740601 + 193100482624 = 174699^2 + 439432^2 .

It is not a de Polignac number, because 223620223225 - 211 = 223620221177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 976507411 + ... + 976507639.

Almost surely, 2223620223225 is an apocalyptic number.

223620223225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

223620223225 is the 472885-th square number.

223620223225 is the 236443-rd centered octagonal number.

It is an amenable number.

223620223225 is a deficient number, since it is larger than the sum of its proper divisors (105939432212).

223620223225 is an frugal number, since it uses more digits than its factorization.

223620223225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 223620223225 its reverse (522322026322), we get a palindrome (745942249547).

The spelling of 223620223225 in words is "two hundred twenty-three billion, six hundred twenty million, two hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 59 175 229 245 295 413 1145 1225 1475 1603 2065 2891 3481 5725 8015 10325 11221 13511 14455 17405 24367 40075 52441 56105 67555 72275 87025 94577 121835 170569 262205 280525 337775 367087 472885 609175 662039 797149 852845 1311025 1835435 2364425 2569609 3094019 3310195 3985745 4264225 5580043 9177175 12848045 15470095 16550975 19928725 21658133 27900215 39060301 64240225 77350475 108290665 139501075 151606931 182547121 195301505 541453325 758034655 912735605 976507525 1277829847 3790173275 4563678025 6389149235 8944808929 31945746175 44724044645 223620223225