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200214036 = 223211717121
BaseRepresentation
bin10111110111100…
…00011000010100
3111221201221000200
423323300120110
5402223322121
631511140500
74650535251
oct1373603024
9457657020
10200214036
11a3019850
1257074730
1332630859
141c83a428
151289ca26
hexbef0614

200214036 has 72 divisors (see below), whose sum is σ = 559960128. Its totient is φ = 59808000.

The previous prime is 200213989. The next prime is 200214043. The reversal of 200214036 is 630412002.

It is a happy number.

200214036 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002140362 = 80171320422818592, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 24556 + ... + 31676.

It is an arithmetic number, because the mean of its divisors is an integer number (7777224).

Almost surely, 2200214036 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 200214036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279980064).

200214036 is an abundant number, since it is smaller than the sum of its proper divisors (359746092).

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

200214036 is a wasteful number, since it uses less digits than its factorization.

200214036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7213 (or 7208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 200214036 is about 14149.7009155671. The cubic root of 200214036 is about 585.0120882885.

Adding to 200214036 its reverse (630412002), we get a palindrome (830626038).

The spelling of 200214036 in words is "two hundred million, two hundred fourteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 7121 9372 14058 14242 21363 28116 28484 42726 64089 78331 85452 128178 156662 234993 256356 313324 469986 505591 704979 939972 1011182 1409958 1516773 2022364 2819916 3033546 4550319 5561501 6067092 9100638 11123002 16684503 18201276 22246004 33369006 50053509 66738012 100107018 200214036