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214221244212 = 223314537136447
BaseRepresentation
bin1100011110000010010…
…1001100011100110100
3202110221110001202002000
43013200211030130310
512002211114303322
6242224544415300
721322413350253
oct3074045143464
9673843052060
10214221244212
118293a342498
1235626317530
131727c712b91
14a522b0a79a
15588bc0b3ac
hex31e094c734

214221244212 has 48 divisors (see below), whose sum is σ = 555430686720. Its totient is φ = 71401646016.

The previous prime is 214221244187. The next prime is 214221244249. The reversal of 214221244212 is 212442122412.

214221244212 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 212 + 442 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501773 + ... + 1638219.

It is an arithmetic number, because the mean of its divisors is an integer number (11571472640).

Almost surely, 2214221244212 is an apocalyptic number.

It is an amenable number.

214221244212 is an abundant number, since it is smaller than the sum of its proper divisors (341209442508).

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

214221244212 is a wasteful number, since it uses less digits than its factorization.

214221244212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150997 (or 150989 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 214221244212 its reverse (212442122412), we get a palindrome (426663366624).

The spelling of 214221244212 in words is "two hundred fourteen billion, two hundred twenty-one million, two hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 14537 29074 43611 58148 87222 130833 136447 174444 261666 272894 392499 409341 523332 545788 784998 818682 1228023 1569996 1637364 2456046 3684069 4912092 7368138 14736276 1983530039 3967060078 5950590117 7934120156 11901180234 17851770351 23802360468 35703540702 53555311053 71407081404 107110622106 214221244212