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214137270 = 23451715551
BaseRepresentation
bin11001100001101…
…11100110110110
3112220221022010000
430300313212312
5414304343040
633125412130
75210064624
oct1460674666
9486838100
10214137270
11aa969556
125b86a046
1335497059
1420622514
1513bed130
hexcc379b6

214137270 has 80 divisors (see below), whose sum is σ = 609700608. Its totient is φ = 53740800.

The previous prime is 214137269. The next prime is 214137307. The reversal of 214137270 is 72731412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5995 + ... + 21545.

Almost surely, 2214137270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214137270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304850304).

214137270 is an abundant number, since it is smaller than the sum of its proper divisors (395563338).

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

214137270 is a wasteful number, since it uses less digits than its factorization.

214137270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15587 (or 15578 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 214137270 is about 14633.4298781933. The cubic root of 214137270 is about 598.2702681716.

Adding to 214137270 its reverse (72731412), we get a palindrome (286868682).

The spelling of 214137270 in words is "two hundred fourteen million, one hundred thirty-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 15551 31102 46653 77755 93306 139959 155510 233265 264367 279918 419877 466530 528734 699795 793101 839754 1259631 1321835 1399590 1586202 2099385 2379303 2519262 2643670 3965505 4198770 4758606 6298155 7137909 7931010 11896515 12596310 14275818 21413727 23793030 35689545 42827454 71379090 107068635 214137270