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214251152412 = 223111623114791
BaseRepresentation
bin1100011110001001011…
…1010010010000011100
3202111000112100020102010
43013202113102100130
512002241243334122
6242231533431220
721323225514213
oct3074227222034
9674015306363
10214251152412
118295520aa10
123563433b510
131728598513b
14a526a9407a
15588e667e0c
hex31e25d241c

214251152412 has 24 divisors (see below), whose sum is σ = 545366570112. Its totient is φ = 64924591600.

The previous prime is 214251152411. The next prime is 214251152449.

214251152412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 214251152412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214251152411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 811557264 + ... + 811557527.

It is an arithmetic number, because the mean of its divisors is an integer number (22723607088).

Almost surely, 2214251152412 is an apocalyptic number.

214251152412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214251152412 is an abundant number, since it is smaller than the sum of its proper divisors (331115417700).

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

214251152412 is a wasteful number, since it uses less digits than its factorization.

214251152412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623114809 (or 1623114807 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 214251 and 152412, that added together give a palindrome (366663).

The spelling of 214251152412 in words is "two hundred fourteen billion, two hundred fifty-one million, one hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1623114791 3246229582 4869344373 6492459164 9738688746 17854262701 19477377492 35708525402 53562788103 71417050804 107125576206 214251152412