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214301050400 = 2552267876313
BaseRepresentation
bin1100011110010101010…
…1101000011000100000
3202111011000020022120202
43013211111220120200
512002342032103100
6242240515124332
721324402605333
oct3074525503040
9674130208522
10214301050400
11829803a1018
1235648ba36a8
1317293105c88
14a52d56261a
155893c227d5
hex31e5568620

214301050400 has 36 divisors (see below), whose sum is σ = 523162441242. Its totient is φ = 85720419840.

The previous prime is 214301050391. The next prime is 214301050423. The reversal of 214301050400 is 4050103412.

It can be written as a sum of positive squares in 3 ways, for example, as 182475917584 + 31825132816 = 427172^2 + 178396^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133937357 + ... + 133938956.

Almost surely, 2214301050400 is an apocalyptic number.

214301050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214301050400 is an abundant number, since it is smaller than the sum of its proper divisors (308861390842).

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

214301050400 is a wasteful number, since it uses less digits than its factorization.

214301050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267876333 (or 267876320 counting only the distinct ones).

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

Adding to 214301050400 its reverse (4050103412), we get a palindrome (218351153812).

The spelling of 214301050400 in words is "two hundred fourteen billion, three hundred one million, fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 267876313 535752626 1071505252 1339381565 2143010504 2678763130 4286021008 5357526260 6696907825 8572042016 10715052520 13393815650 21430105040 26787631300 42860210080 53575262600 107150525200 214301050400