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214222434300 = 223252734003561
BaseRepresentation
bin1100011110000010100…
…1101110111111111100
3202110221112022012120100
43013200221232333330
512002211420344200
6242225030121100
721322426435020
oct3074051567774
9673845265510
10214222434300
118293aa85636
12356267b0190
131727ca3b784
14a522d3a380
15588bd93d00
hex31e0a6effc

214222434300 has 108 divisors (see below), whose sum is σ = 767392387216. Its totient is φ = 48965126400.

The previous prime is 214222434241. The next prime is 214222434331. The reversal of 214222434300 is 3434222412.

214222434300 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 224 + 3 + 430 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 16995481 + ... + 17008080.

Almost surely, 2214222434300 is an apocalyptic number.

214222434300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214222434300 is an abundant number, since it is smaller than the sum of its proper divisors (553169952916).

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

214222434300 is a wasteful number, since it uses less digits than its factorization.

214222434300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34003588 (or 34003578 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 214222434300 its reverse (3434222412), we get a palindrome (217656656712).

The spelling of 214222434300 in words is "two hundred fourteen billion, two hundred twenty-two million, four hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 34003561 68007122 102010683 136014244 170017805 204021366 238024927 306032049 340035610 408042732 476049854 510053415 612064098 680071220 714074781 850089025 952099708 1020106830 1190124635 1224128196 1428149562 1530160245 1700178050 2040213660 2142224343 2380249270 2550267075 2856299124 3060320490 3400356100 3570373905 4284448686 4760498540 5100534150 5950623175 6120640980 7140747810 7650801225 8568897372 10201068300 10711121715 11901246350 14281495620 15301602450 17851869525 21422243430 23802492700 30603204900 35703739050 42844486860 53555608575 71407478100 107111217150 214222434300