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214397072060 = 225431301191621
BaseRepresentation
bin1100011110101100001…
…1111011001010111100
3202111101200220201112112
43013223003323022330
512003041122301220
6242254225153152
721326650021013
oct3075303731274
9674350821475
10214397072060
1182a1a615566
123567518b7b8
13172a9c85a22
14a53c1d9a7a
15589c38d5c5
hex31eb0fb2bc

214397072060 has 48 divisors (see below), whose sum is σ = 461060927712. Its totient is φ = 83699616000.

The previous prime is 214397072053. The next prime is 214397072063. The reversal of 214397072060 is 60270793412.

It is a super-2 number, since 2×2143970720602 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214397071999 and 214397072017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214397072063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023050 + ... + 1214670.

It is an arithmetic number, because the mean of its divisors is an integer number (9605435994).

Almost surely, 2214397072060 is an apocalyptic number.

214397072060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214397072060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230530463856).

214397072060 is an abundant number, since it is smaller than the sum of its proper divisors (246663855652).

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

214397072060 is a wasteful number, since it uses less digits than its factorization.

214397072060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192974 (or 192972 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 41.

The spelling of 214397072060 in words is "two hundred fourteen billion, three hundred ninety-seven million, seventy-two thousand, sixty".

Divisors: 1 2 4 5 10 20 43 86 172 215 430 860 1301 2602 5204 6505 13010 26020 55943 111886 191621 223772 279715 383242 559430 766484 958105 1118860 1916210 3832420 8239703 16479406 32958812 41198515 82397030 164794060 249298921 498597842 997195684 1246494605 2492989210 4985978420 10719853603 21439707206 42879414412 53599268015 107198536030 214397072060