Search a number
-
+
223201211230200 = 233527233391227363
BaseRepresentation
bin110010110000000000010100…
…111010001010011111111000
31002021021211100011210101122110
4302300000110322022133320
5213223412040033331300
62110413115414052320
765004520042001100
oct6260002472123770
91067254304711573
10223201211230200
1165134113994455
1221049a8204a0a0
139770a26318928
143d18dd3a70200
151ac0e980e6550
hexcb0014e8a7f8

223201211230200 has 288 divisors, whose sum is σ = 804918543701760. Its totient is φ = 51015667449600.

The previous prime is 223201211230159. The next prime is 223201211230223. The reversal of 223201211230200 is 2032112102322.

It is a super-3 number, since 3×2232012112302003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 981581719 + ... + 981809081.

It is an arithmetic number, because the mean of its divisors is an integer number (2794856054520).

Almost surely, 2223201211230200 is an apocalyptic number.

223201211230200 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 223201211230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402459271850880).

223201211230200 is an abundant number, since it is smaller than the sum of its proper divisors (581717332471560).

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

223201211230200 is a wasteful number, since it uses less digits than its factorization.

223201211230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260787 (or 260771 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 223201211230200 its reverse (2032112102322), we get a palindrome (225233323332522).

The spelling of 223201211230200 in words is "two hundred twenty-three trillion, two hundred one billion, two hundred eleven million, two hundred thirty thousand, two hundred".