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1214532200 = 235278271049
BaseRepresentation
bin100100001100100…
…0100101001101000
310010122100121222002
41020121010221220
54441410012300
6320303350132
742045232130
oct11031045150
93118317862
101214532200
11573632022
1229a8b2348
13164811c0b
14b7433ac0
157195b5d5
hex48644a68

1214532200 has 96 divisors (see below), whose sum is σ = 3234168000. Its totient is φ = 415511040.

The previous prime is 1214532197. The next prime is 1214532211. The reversal of 1214532200 is 22354121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1157276 + ... + 1158324.

It is an arithmetic number, because the mean of its divisors is an integer number (33689250).

Almost surely, 21214532200 is an apocalyptic number.

1214532200 is a gapful number since it is divisible by the number (10) 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 1214532200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617084000).

1214532200 is an abundant number, since it is smaller than the sum of its proper divisors (2019635800).

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

1214532200 is a wasteful number, since it uses less digits than its factorization.

1214532200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1214532200 is about 34850.1391675844. The cubic root of 1214532200 is about 1066.9310260564.

Adding to 1214532200 its reverse (22354121), we get a palindrome (1236886321).

The spelling of 1214532200 in words is "one billion, two hundred fourteen million, five hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 827 1049 1400 1654 2098 3308 4135 4196 5245 5789 6616 7343 8270 8392 10490 11578 14686 16540 20675 20980 23156 26225 28945 29372 33080 36715 41350 41960 46312 52450 57890 58744 73430 82700 104900 115780 144725 146860 165400 183575 209800 231560 289450 293720 367150 578900 734300 867523 1157800 1468600 1735046 3470092 4337615 6072661 6940184 8675230 12145322 17350460 21688075 24290644 30363305 34700920 43376150 48581288 60726610 86752300 121453220 151816525 173504600 242906440 303633050 607266100 1214532200