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1200644214 = 237115474751
BaseRepresentation
bin100011110010000…
…0110000001110110
310002200020001020020
41013210012001312
54424331103324
6315045550010
741516210310
oct10744060166
93080201206
101200644214
11566806850
12296115306
1316198b783
14b565a7b0
1570616679
hex47906076

1200644214 has 64 divisors (see below), whose sum is σ = 2999918592. Its totient is φ = 311220000.

The previous prime is 1200644209. The next prime is 1200644231. The reversal of 1200644214 is 4124460021.

It is a happy number.

It is a super-2 number, since 2×12006442142 = 2883093057223355592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250339 + ... + 255089.

It is an arithmetic number, because the mean of its divisors is an integer number (46873728).

Almost surely, 21200644214 is an apocalyptic number.

1200644214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200644214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499959296).

1200644214 is an abundant number, since it is smaller than the sum of its proper divisors (1799274378).

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

1200644214 is a wasteful number, since it uses less digits than its factorization.

1200644214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1200644214 is about 34650.3133319166. The cubic root of 1200644214 is about 1062.8486961436.

The spelling of 1200644214 in words is "one billion, two hundred million, six hundred forty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 547 1094 1641 3282 3829 4751 6017 7658 9502 11487 12034 14253 18051 22974 28506 33257 36102 42119 52261 66514 84238 99771 104522 126357 156783 199542 252714 313566 365827 731654 1097481 2194962 2598797 5197594 7796391 15592782 18191579 28586767 36383158 54574737 57173534 85760301 109149474 171520602 200107369 400214738 600322107 1200644214