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398221006140 = 223252212338923
BaseRepresentation
bin1011100101101111101…
…00100101010100111100
31102001212201002010012100
411302313310211110330
523011024034144030
6502535030105100
740525200462666
oct5626764452474
91361781063170
10398221006140
11143980415a41
12652174ab190
132b723bc4659
14153b9bd7536
15a55a63e360
hex5cb7d2553c

398221006140 has 36 divisors (see below), whose sum is σ = 1207937052504. Its totient is φ = 106192268256.

The previous prime is 398221006111. The next prime is 398221006151. The reversal of 398221006140 is 41600122893.

398221006140 is a `hidden beast` number, since 3 + 9 + 8 + 22 + 10 + 0 + 614 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 398221006095 and 398221006104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1106169282 + ... + 1106169641.

It is an arithmetic number, because the mean of its divisors is an integer number (33553807014).

Almost surely, 2398221006140 is an apocalyptic number.

398221006140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398221006140 is an abundant number, since it is smaller than the sum of its proper divisors (809716046364).

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

398221006140 is a wasteful number, since it uses less digits than its factorization.

398221006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212338938 (or 2212338933 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 398221006140 in words is "three hundred ninety-eight billion, two hundred twenty-one million, six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2212338923 4424677846 6637016769 8849355692 11061694615 13274033538 19911050307 22123389230 26548067076 33185083845 39822100614 44246778460 66370167690 79644201228 99555251535 132740335380 199110503070 398221006140