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221020542 = 233291131249
BaseRepresentation
bin11010010110010…
…00000101111110
3120101220000012000
431023020011332
5423040124132
633533123130
75322433521
oct1513100576
9511800160
10221020542
11103840006
12620294a6
1336a370b2
14214d4bb8
151460c87c
hexd2c817e

221020542 has 64 divisors (see below), whose sum is σ = 513000000. Its totient is φ = 70447104.

The previous prime is 221020537. The next prime is 221020543. The reversal of 221020542 is 245020122.

221020542 is a `hidden beast` number, since 22 + 102 + 0 + 542 = 666.

221020542 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176334 + ... + 177582.

It is an arithmetic number, because the mean of its divisors is an integer number (8015625).

Almost surely, 2221020542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221020542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256500000).

221020542 is an abundant number, since it is smaller than the sum of its proper divisors (291979458).

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

221020542 is a wasteful number, since it uses less digits than its factorization.

221020542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 221020542 is about 14866.7596334911. The cubic root of 221020542 is about 604.6130914151.

Adding to 221020542 its reverse (245020122), we get a palindrome (466040664).

The spelling of 221020542 in words is "two hundred twenty-one million, twenty thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 113 174 226 261 339 522 678 783 1017 1249 1566 2034 2498 3051 3277 3747 6102 6554 7494 9831 11241 19662 22482 29493 33723 36221 58986 67446 72442 88479 108663 141137 176958 217326 282274 325989 423411 651978 846822 977967 1270233 1955934 2540466 3810699 4092973 7621398 8185946 12278919 24557838 36836757 73673514 110510271 221020542