Search a number
-
+
214210062 = 233113111633
BaseRepresentation
bin11001100010010…
…01011000001110
3112221001222222000
430301021120032
5414314210222
633131133130
75210520063
oct1461113016
9487058860
10214210062
11aaa09210
125b8a41a6
13354c1221
1420640c6a
1513c149ac
hexcc4960e

214210062 has 64 divisors (see below), whose sum is σ = 536094720. Its totient is φ = 62812800.

The previous prime is 214210039. The next prime is 214210091. The reversal of 214210062 is 260012412.

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

It is a congruent number.

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, 12598 + ... + 24230.

It is an arithmetic number, because the mean of its divisors is an integer number (8376480).

Almost surely, 2214210062 is an apocalyptic number.

214210062 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 214210062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268047360).

214210062 is an abundant number, since it is smaller than the sum of its proper divisors (321884658).

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

214210062 is a wasteful number, since it uses less digits than its factorization.

214210062 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11686 (or 11680 counting only the distinct ones).

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

The square root of 214210062 is about 14635.9168486296. The cubic root of 214210062 is about 598.3380507918.

Adding to 214210062 its reverse (260012412), we get a palindrome (474222474).

It can be divided in two parts, 214 and 210062, that added together give a triangular number (210276 = T648).

The spelling of 214210062 in words is "two hundred fourteen million, two hundred ten thousand, sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 186 198 279 297 341 558 594 682 837 1023 1674 2046 3069 6138 9207 11633 18414 23266 34899 69798 104697 127963 209394 255926 314091 360623 383889 628182 721246 767778 1081869 1151667 2163738 2303334 3245607 3455001 3966853 6491214 6910002 7933706 9736821 11900559 19473642 23801118 35701677 71403354 107105031 214210062