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214662266412 = 223113743952143
BaseRepresentation
bin1100011111101011011…
…1100011111000101100
3202112002011220222210120
43013322313203320230
512004112020011122
6242340421204540
721336350105256
oct3077267437054
9675064828716
10214662266412
1183046286a50
1235729b60750
131731cbb8369
14a56550ccd6
1558b57c475c
hex31fade3e2c

214662266412 has 48 divisors (see below), whose sum is σ = 561180974592. Its totient is φ = 63291084480.

The previous prime is 214662266389. The next prime is 214662266417.

214662266412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2146622664122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214662266417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21971188 + ... + 21980955.

It is an arithmetic number, because the mean of its divisors is an integer number (11691270304).

Almost surely, 2214662266412 is an apocalyptic number.

214662266412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214662266412 is an abundant number, since it is smaller than the sum of its proper divisors (346518708180).

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

214662266412 is a wasteful number, since it uses less digits than its factorization.

214662266412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43952198 (or 43952196 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 214662266412 in words is "two hundred fourteen billion, six hundred sixty-two million, two hundred sixty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 43952143 87904286 131856429 175808572 263712858 483473573 527425716 966947146 1450420719 1626229291 1933894292 2900841438 3252458582 4878687873 5801682876 6504917164 9757375746 17888522201 19514751492 35777044402 53665566603 71554088804 107331133206 214662266412