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214427844 = 223319831259
BaseRepresentation
bin11001100011111…
…10100011000100
3112221111001201000
430301332203010
5414343142334
633135533300
75212415031
oct1461764304
9487431630
10214427844
111000478a4
125b98a230
13355693a7
142069a388
1513c59299
hexcc7e8c4

214427844 has 96 divisors (see below), whose sum is σ = 592704000. Its totient is φ = 66845088.

The previous prime is 214427821. The next prime is 214427891. The reversal of 214427844 is 448724412.

214427844 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214427799 and 214427808.

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, 169687 + ... + 170945.

It is an arithmetic number, because the mean of its divisors is an integer number (6174000).

Almost surely, 2214427844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214427844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352000).

214427844 is an abundant number, since it is smaller than the sum of its proper divisors (378276156).

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

214427844 is a wasteful number, since it uses less digits than its factorization.

214427844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 57344, while the sum is 36.

The square root of 214427844 is about 14643.3549434547. The cubic root of 214427844 is about 598.5407538784.

The spelling of 214427844 in words is "two hundred fourteen million, four hundred twenty-seven thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 83 108 114 166 171 228 249 332 342 498 513 684 747 996 1026 1259 1494 1577 2052 2241 2518 2988 3154 3777 4482 4731 5036 6308 7554 8964 9462 11331 14193 15108 18924 22662 23921 28386 33993 42579 45324 47842 56772 67986 71763 85158 95684 104497 135972 143526 170316 208994 215289 287052 313491 417988 430578 626982 645867 861156 940473 1253964 1291734 1880946 1985443 2583468 2821419 3761892 3970886 5642838 5956329 7941772 11285676 11912658 17868987 23825316 35737974 53606961 71475948 107213922 214427844