Search a number
-
+
214250224154200 = 23521382403932367
BaseRepresentation
bin110000101101110000000100…
…100000001111011001011000
31001002121010021111110002012121
4300231300010200033121120
5211040233424340413300
62035401105540351024
763062032166132623
oct6055600440173130
91032533244402177
10214250224154200
11622a3012052593
12200431666a5474
13927192b865220
143ac9aa2572dba
1519b82177d281a
hexc2dc0480f658

214250224154200 has 48 divisors (see below), whose sum is σ = 536449599715680. Its totient is φ = 79107775071360.

The previous prime is 214250224154177. The next prime is 214250224154201. The reversal of 214250224154200 is 2451422052412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214250224154201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41201963584 + ... + 41201968783.

It is an arithmetic number, because the mean of its divisors is an integer number (11176033327410).

Almost surely, 2214250224154200 is an apocalyptic number.

214250224154200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214250224154200 is an abundant number, since it is smaller than the sum of its proper divisors (322199375561480).

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

214250224154200 is a wasteful number, since it uses less digits than its factorization.

214250224154200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82403932396 (or 82403932387 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The spelling of 214250224154200 in words is "two hundred fourteen trillion, two hundred fifty billion, two hundred twenty-four million, one hundred fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 82403932367 164807864734 329615729468 412019661835 659231458936 824039323670 1071251120771 1648078647340 2060098309175 2142502241542 3296157294680 4120196618350 4285004483084 5356255603855 8240393236700 8570008966168 10712511207710 16480786473400 21425022415420 26781278019275 42850044830840 53562556038550 107125112077100 214250224154200