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214470044257224 = 23376287320304541
BaseRepresentation
bin110000110000111100110010…
…110011011000101111001000
31001010101010200010202022200210
4300300330302303120233020
5211102334122312212344
62040050102252201120
763113643426154560
oct6060746263305710
91033333603668623
10214470044257224
1162378264840518
1220079893a691a0
1392895911c2cc2
143ad6596aabda0
1519bdcd0cd9db9
hexc30f32cd8bc8

214470044257224 has 64 divisors (see below), whose sum is σ = 612781331379840. Its totient is φ = 61276177866240.

The previous prime is 214470044257223. The next prime is 214470044257277. The reversal of 214470044257224 is 422752440074412.

It is not an unprimeable number, because it can be changed into a prime (214470044257223) 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, 410394 + ... + 20714934.

It is an arithmetic number, because the mean of its divisors is an integer number (9574708302810).

Almost surely, 2214470044257224 is an apocalyptic number.

214470044257224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214470044257224 is an abundant number, since it is smaller than the sum of its proper divisors (398311287122616).

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

214470044257224 is a wasteful number, since it uses less digits than its factorization.

214470044257224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20367430 (or 20367426 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 48.

The spelling of 214470044257224 in words is "two hundred fourteen trillion, four hundred seventy billion, forty-four million, two hundred fifty-seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 62873 125746 188619 251492 377238 440111 502984 754476 880222 1320333 1508952 1760444 2640666 3520888 5281332 10562664 20304541 40609082 60913623 81218164 121827246 142131787 162436328 243654492 284263574 426395361 487308984 568527148 852790722 1137054296 1705581444 3411162888 1276607406293 2553214812586 3829822218879 5106429625172 7659644437758 8936251844051 10212859250344 15319288875516 17872503688102 26808755532153 30638577751032 35745007376204 53617511064306 71490014752408 107235022128612 214470044257224