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214134210 = 232517173809
BaseRepresentation
bin11001100001101…
…10110111000010
3112220221010220200
430300312313002
5414304243320
633125350030
75210052663
oct1460666702
9486833820
10214134210
11aa967224
125b868316
1335495844
142062136a
1513bec290
hexcc36dc2

214134210 has 96 divisors (see below), whose sum is σ = 593639280. Its totient is φ = 53366784.

The previous prime is 214134197. The next prime is 214134229. The reversal of 214134210 is 12431412.

214134210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 200760561 + 13373649 = 14169^2 + 3657^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264286 + ... + 265094.

Almost surely, 2214134210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214134210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296819640).

214134210 is an abundant number, since it is smaller than the sum of its proper divisors (379505070).

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

214134210 is a wasteful number, since it uses less digits than its factorization.

214134210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 214134210 is about 14633.3253227009. The cubic root of 214134210 is about 598.2674184174.

Adding to 214134210 its reverse (12431412), we get a palindrome (226565622).

The spelling of 214134210 in words is "two hundred fourteen million, one hundred thirty-four thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 173 255 306 346 510 519 765 809 865 1038 1530 1557 1618 1730 2427 2595 2941 3114 4045 4854 5190 5882 7281 7785 8090 8823 12135 13753 14562 14705 15570 17646 24270 26469 27506 29410 36405 41259 44115 52938 68765 72810 82518 88230 123777 132345 137530 139957 206295 247554 264690 279914 412590 419871 618885 699785 839742 1237770 1259613 1399570 2099355 2379269 2519226 4198710 4758538 6298065 7137807 11896345 12596130 14275614 21413421 23792690 35689035 42826842 71378070 107067105 214134210