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200223220208 = 241137247312433
BaseRepresentation
bin1011101001111000111…
…0111110000111110000
3201010210220022110001112
42322132032332013300
511240024121021313
6231551542252452
720315501201534
oct2723616760760
9633726273045
10200223220208
1177a06873910
123297a427128
1315b5b64653b
1499959c9bc4
15531cd688a8
hex2e9e3be1f0

200223220208 has 80 divisors (see below), whose sum is σ = 434847617376. Its totient is φ = 88507883520.

The previous prime is 200223220207. The next prime is 200223220229. The reversal of 200223220208 is 802022322002.

It is a happy number.

It is a super-2 number, since 2×2002232202082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200223220207) 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, 16097960 + ... + 16110392.

Almost surely, 2200223220208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200223220208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217423808688).

200223220208 is an abundant number, since it is smaller than the sum of its proper divisors (234624397168).

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

200223220208 is a wasteful number, since it uses less digits than its factorization.

200223220208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14962 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The spelling of 200223220208 in words is "two hundred billion, two hundred twenty-three million, two hundred twenty thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1628 2473 3256 4946 6512 9892 12433 19784 24866 27203 39568 49732 54406 91501 99464 108812 136763 183002 198928 217624 273526 366004 435248 460021 547052 732008 920042 1006511 1094104 1464016 1840084 2013022 2188208 3680168 4026044 5060231 7360336 8052088 10120462 16104176 20240924 30746809 40481848 61493618 80963696 122987236 245974472 338214899 491948944 676429798 1137631933 1352859596 2275263866 2705719192 4550527732 5411438384 9101055464 12513951263 18202110928 25027902526 50055805052 100111610104 200223220208