Search a number
-
+
221375588 = 227313761113
BaseRepresentation
bin11010011000111…
…10110001100100
3120102120001012212
431030132301210
5423133004323
633544502552
75325442610
oct1514366144
9512501185
10221375588
11103a62835
126217aa58
1336b2c895
1421588340
151467cb78
hexd31ec64

221375588 has 96 divisors (see below), whose sum is σ = 481302528. Its totient is φ = 87091200.

The previous prime is 221375587. The next prime is 221375599. The reversal of 221375588 is 885573122.

221375588 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221375587) 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, 1959020 + ... + 1959132.

It is an arithmetic number, because the mean of its divisors is an integer number (5013568).

Almost surely, 2221375588 is an apocalyptic number.

221375588 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221375588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240651264).

221375588 is an abundant number, since it is smaller than the sum of its proper divisors (259926940).

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

221375588 is a wasteful number, since it uses less digits than its factorization.

221375588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its digits is 134400, while the sum is 41.

The square root of 221375588 is about 14878.6957761761. The cubic root of 221375588 is about 604.9366670949.

The spelling of 221375588 in words is "two hundred twenty-one million, three hundred seventy-five thousand, five hundred eighty-eight".

Divisors: 1 2 4 7 14 28 31 37 61 62 74 113 122 124 148 217 226 244 259 427 434 452 518 791 854 868 1036 1147 1582 1708 1891 2257 2294 3164 3503 3782 4181 4514 4588 6893 7006 7564 8029 8362 9028 13237 13786 14012 15799 16058 16724 24521 26474 27572 29267 31598 32116 48251 49042 52948 58534 63196 69967 96502 98084 117068 129611 139934 193004 213683 255041 259222 279868 427366 489769 510082 518444 854732 907277 979538 1020164 1495781 1785287 1814554 1959076 2991562 3570574 3629108 5983124 7141148 7906271 15812542 31625084 55343897 110687794 221375588