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216040401 = 3229827741
BaseRepresentation
bin11001110000010…
…00001111010001
3120001111222201100
430320020033101
5420301243101
633234255013
75232212253
oct1470101721
9501458640
10216040401
11100a49395
1260427469
13359b2375
1420999cd3
1513e76e86
hexce083d1

216040401 has 12 divisors (see below), whose sum is σ = 322819380. Its totient is φ = 139060320.

The previous prime is 216040379. The next prime is 216040411. The reversal of 216040401 is 104040612.

216040401 is a `hidden beast` number, since 21 + 604 + 0 + 40 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78588225 + 137452176 = 8865^2 + 11724^2 .

It is not a de Polignac number, because 216040401 - 215 = 216007633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216040411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413610 + ... + 414131.

It is an arithmetic number, because the mean of its divisors is an integer number (26901615).

Almost surely, 2216040401 is an apocalyptic number.

It is an amenable number.

216040401 is a deficient number, since it is larger than the sum of its proper divisors (106778979).

216040401 is a wasteful number, since it uses less digits than its factorization.

216040401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827776 (or 827773 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 216040401 is about 14698.3128623662. The cubic root of 216040401 is about 600.0374060013.

The spelling of 216040401 in words is "two hundred sixteen million, forty thousand, four hundred one".

Divisors: 1 3 9 29 87 261 827741 2483223 7449669 24004489 72013467 216040401