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200224113012 = 22327211109137691
BaseRepresentation
bin1011101001111001001…
…0011000000101110100
3201010210221222210202100
42322132102120011310
511240024333104022
6231552013342100
720315511610500
oct2723622300564
9633727883670
10200224113012
1177a07323670
123297a797930
1315b5b899a21
149995b7d300
15531ce931ac
hex2e9e498174

200224113012 has 432 divisors, whose sum is σ = 653845832640. Its totient is φ = 51078988800.

The previous prime is 200224112993. The next prime is 200224113043. The reversal of 200224113012 is 210311422002.

It is a happy number.

200224113012 is a `hidden beast` number, since 200 + 22 + 411 + 30 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 289759587 + ... + 289760277.

It is an arithmetic number, because the mean of its divisors is an integer number (1513532020).

Almost surely, 2200224113012 is an apocalyptic number.

200224113012 is a gapful number since it is divisible by the number (22) 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 200224113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326922916320).

200224113012 is an abundant number, since it is smaller than the sum of its proper divisors (453621719628).

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

200224113012 is a wasteful number, since it uses less digits than its factorization.

200224113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 200224113012 its reverse (210311422002), we get a palindrome (410535535014).

It can be divided in two parts, 200224 and 113012, that added together give a triangular number (313236 = T791).

The spelling of 200224113012 in words is "two hundred billion, two hundred twenty-four million, one hundred thirteen thousand, twelve".