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200223400320 = 27325672771873
BaseRepresentation
bin1011101001111000111…
…1101010000110000000
3201010210220122121010100
42322132033222012000
511240024142302240
6231551550202400
720315502551616
oct2723617520600
9633726577110
10200223400320
1177a06987169
123297a4b3400
1315b5b6aa508
149995a356b6
15531cda1e30
hex2e9e3ea180

200223400320 has 384 divisors, whose sum is σ = 704625049440. Its totient is φ = 52378140672.

The previous prime is 200223400301. The next prime is 200223400337. The reversal of 200223400320 is 23004322002.

200223400320 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 2 + 340 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2002234003202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200223400293 and 200223400302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106898904 + ... + 106900776.

Almost surely, 2200223400320 is an apocalyptic number.

200223400320 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 200223400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352312524720).

200223400320 is an abundant number, since it is smaller than the sum of its proper divisors (504401649120).

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

200223400320 is a wasteful number, since it uses less digits than its factorization.

200223400320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 200223400320 its reverse (23004322002), we get a palindrome (223227722322).

The spelling of 200223400320 in words is "two hundred billion, two hundred twenty-three million, four hundred thousand, three hundred twenty".