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214406730 = 23355314983
BaseRepresentation
bin11001100011110…
…01011001001010
3112221102222202000
430301321121022
5414342003410
633135251430
75212266336
oct1461713112
9487388660
10214406730
11100032a4a
125b979b76
133555c8b5
14206927c6
1513c52dc0
hexcc7964a

214406730 has 64 divisors (see below), whose sum is σ = 582577920. Its totient is φ = 56092608.

The previous prime is 214406693. The next prime is 214406761. The reversal of 214406730 is 37604412.

214406730 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 214406694 and 214406703.

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, 6819 + ... + 21801.

It is an arithmetic number, because the mean of its divisors is an integer number (9102780).

Almost surely, 2214406730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214406730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291288960).

214406730 is an abundant number, since it is smaller than the sum of its proper divisors (368171190).

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

214406730 is a wasteful number, since it uses less digits than its factorization.

214406730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15052 (or 15046 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 214406730 is about 14642.6339843622. The cubic root of 214406730 is about 598.5211077913.

The spelling of 214406730 in words is "two hundred fourteen million, four hundred six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 14983 29966 44949 74915 89898 134847 149830 224745 269694 404541 449490 674235 794099 809082 1348470 1588198 2022705 2382297 3970495 4045410 4764594 7146891 7940990 11911485 14293782 21440673 23822970 35734455 42881346 71468910 107203365 214406730