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214221042 = 23272892729
BaseRepresentation
bin11001100010011…
…00000011110010
3112221002120000200
430301030003302
5414320033132
633131300030
75210564100
oct1461140362
9487076020
10214221042
11aaa16492
125b8aa616
13354c6219
1420644c70
1513c17d7c
hexcc4c0f2

214221042 has 72 divisors (see below), whose sum is σ = 546191100. Its totient is φ = 60496128.

The previous prime is 214221019. The next prime is 214221047. The reversal of 214221042 is 240122412.

It can be written as a sum of positive squares in 2 ways, for example, as 210569121 + 3651921 = 14511^2 + 1911^2 .

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

It is not an unprimeable number, because it can be changed into a prime (214221047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77134 + ... + 79862.

Almost surely, 2214221042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214221042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273095550).

214221042 is an abundant number, since it is smaller than the sum of its proper divisors (331970058).

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

214221042 is a wasteful number, since it uses less digits than its factorization.

214221042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214221042 is about 14636.2919484410. The cubic root of 214221042 is about 598.3482738403.

Adding to 214221042 its reverse (240122412), we get a palindrome (454343454).

The spelling of 214221042 in words is "two hundred fourteen million, two hundred twenty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 89 98 126 147 178 267 294 441 534 623 801 882 1246 1602 1869 2729 3738 4361 5458 5607 8187 8722 11214 13083 16374 19103 24561 26166 38206 39249 49122 57309 78498 114618 133721 171927 242881 267442 343854 401163 485762 728643 802326 1203489 1457286 1700167 2185929 2406978 3400334 4371858 5100501 10201002 11901169 15301503 23802338 30603006 35703507 71407014 107110521 214221042