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200223220100 = 225259293115823
BaseRepresentation
bin1011101001111000111…
…0111110000110000100
3201010210220022102220112
42322132032332012010
511240024121020400
6231551542252152
720315501201321
oct2723616760604
9633726272815
10200223220100
1177a06873822
123297a427058
1315b5b646487
1499959c9b48
15531cd68835
hex2e9e3be184

200223220100 has 72 divisors (see below), whose sum is σ = 443360373120. Its totient is φ = 78462455680.

The previous prime is 200223220051. The next prime is 200223220103. The reversal of 200223220100 is 1022322002.

It is not an unprimeable number, because it can be changed into a prime (200223220103) 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, 1670789 + ... + 1786611.

It is an arithmetic number, because the mean of its divisors is an integer number (6157782960).

Almost surely, 2200223220100 is an apocalyptic number.

200223220100 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 200223220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221680186560).

200223220100 is an abundant number, since it is smaller than the sum of its proper divisors (243137153020).

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

200223220100 is a wasteful number, since it uses less digits than its factorization.

200223220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116189 (or 116182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 200223220100 its reverse (1022322002), we get a palindrome (201245542102).

The spelling of 200223220100 in words is "two hundred billion, two hundred twenty-three million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 293 295 586 590 1172 1180 1465 1475 2930 2950 5860 5900 7325 14650 17287 29300 34574 69148 86435 115823 172870 231646 345740 432175 463292 579115 864350 1158230 1728700 2316460 2895575 5791150 6833557 11582300 13667114 27334228 33936139 34167785 67872278 68335570 135744556 136671140 169680695 170838925 339361390 341677850 678722780 683355700 848403475 1696806950 2002232201 3393613900 4004464402 8008928804 10011161005 20022322010 40044644020 50055805025 100111610050 200223220100