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214212212233140 = 223511479677586551
BaseRepresentation
bin110000101101001100101010…
…110100010001001110110100
31001002110111011101022102022110
4300231030222310101032310
5211034123102312430030
62035331422021131020
763056215212133422
oct6055145264211664
91032414141272273
10214212212233140
11622889863396a0
1220037918559a70
13926b181644c44
143ac7cd803a112
1519b72406061b0
hexc2d32ad113b4

214212212233140 has 96 divisors (see below), whose sum is σ = 655686954639360. Its totient is φ = 51821819344000.

The previous prime is 214212212233109. The next prime is 214212212233163. The reversal of 214212212233140 is 41332212212412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214212212233098 and 214212212233107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338477136 + ... + 339109415.

It is an arithmetic number, because the mean of its divisors is an integer number (6830072444160).

Almost surely, 2214212212233140 is an apocalyptic number.

214212212233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214212212233140 is an abundant number, since it is smaller than the sum of its proper divisors (441474742406220).

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

214212212233140 is a wasteful number, since it uses less digits than its factorization.

214212212233140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677587053 (or 677587051 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 214212212233140 its reverse (41332212212412), we get a palindrome (255544424445552).

The spelling of 214212212233140 in words is "two hundred fourteen trillion, two hundred twelve billion, two hundred twelve million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 479 660 958 1437 1916 2395 2874 4790 5269 5748 7185 9580 10538 14370 15807 21076 26345 28740 31614 52690 63228 79035 105380 158070 316140 677586551 1355173102 2032759653 2710346204 3387932755 4065519306 6775865510 7453452061 8131038612 10163798265 13551731020 14906904122 20327596530 22360356183 29813808244 37267260305 40655193060 44720712366 74534520610 89441424732 111801780915 149069041220 223603561830 324563957929 447207123660 649127915858 973691873787 1298255831716 1622819789645 1947383747574 3245639579290 3570203537219 3894767495148 4868459368935 6491279158580 7140407074438 9736918737870 10710610611657 14280814148876 17851017686095 19473837475740 21421221223314 35702035372190 42842442446628 53553053058285 71404070744380 107106106116570 214212212233140