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214394940 = 223257915077
BaseRepresentation
bin11001100011101…
…10100000111100
3112221102101120100
430301312200330
5414341114230
633135121100
75212220064
oct1461664074
9487371510
10214394940
11100025101
125b973190
1335557416
142068c3a4
1513c4e660
hexcc7683c

214394940 has 72 divisors (see below), whose sum is σ = 658607040. Its totient is φ = 56444544.

The previous prime is 214394881. The next prime is 214394963. The reversal of 214394940 is 49493412.

214394940 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 = 214394895 and 214394904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6682 + ... + 21758.

It is an arithmetic number, because the mean of its divisors is an integer number (9147320).

Almost surely, 2214394940 is an apocalyptic number.

214394940 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 214394940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329303520).

214394940 is an abundant number, since it is smaller than the sum of its proper divisors (444212100).

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

214394940 is a wasteful number, since it uses less digits than its factorization.

214394940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15171 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 214394940 is about 14642.2313873262. The cubic root of 214394940 is about 598.5101369087.

The spelling of 214394940 in words is "two hundred fourteen million, three hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 711 790 948 1185 1422 1580 2370 2844 3555 4740 7110 14220 15077 30154 45231 60308 75385 90462 135693 150770 180924 226155 271386 301540 452310 542772 678465 904620 1191083 1356930 2382166 2713860 3573249 4764332 5955415 7146498 10719747 11910830 14292996 17866245 21439494 23821660 35732490 42878988 53598735 71464980 107197470 214394940