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214202412 = 22325950067
BaseRepresentation
bin11001100010001…
…11100000101100
3112221001121110200
430301013200230
5414313434122
633131033500
75210455554
oct1461074054
9487047420
10214202412
11aaa03496
125b89b890
13354ba8b8
142063c164
1513c125ac
hexcc4782c

214202412 has 18 divisors (see below), whose sum is σ = 541456188. Its totient is φ = 71400792.

The previous prime is 214202411. The next prime is 214202413.

214202412 is a `hidden beast` number, since 2 + 1 + 420 + 241 + 2 = 666.

214202412 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (214202411) and next prime (214202413).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (214202411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2974998 + ... + 2975069.

Almost surely, 2214202412 is an apocalyptic number.

It is an amenable number.

214202412 is an abundant number, since it is smaller than the sum of its proper divisors (327253776).

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

214202412 is a wasteful number, since it uses less digits than its factorization.

214202412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950077 (or 5950072 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214202412 is about 14635.6555029148. The cubic root of 214202412 is about 598.3309279695.

It can be divided in two parts, 21420 and 2412, that added together give a palindrome (23832).

The spelling of 214202412 in words is "two hundred fourteen million, two hundred two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 5950067 11900134 17850201 23800268 35700402 53550603 71400804 107101206 214202412