Search a number
-
+
221444510252 = 227239203916229
BaseRepresentation
bin1100111000111100011…
…1110001001000101100
3210011120211220200021212
43032033013301020230
512112004243312002
6245421420213552
721666413165030
oct3161707611054
9704524820255
10221444510252
1185a06720149
1236b0139a2b8
1317b6105acb4
14aa0a1841c0
155b60e28352
hex338f1f122c

221444510252 has 48 divisors (see below), whose sum is σ = 444987648000. Its totient is φ = 94455528384.

The previous prime is 221444510219. The next prime is 221444510281. The reversal of 221444510252 is 252015444122.

221444510252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2214445102522 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13636874 + ... + 13653102.

It is an arithmetic number, because the mean of its divisors is an integer number (9270576000).

Almost surely, 2221444510252 is an apocalyptic number.

It is an amenable number.

221444510252 is an abundant number, since it is smaller than the sum of its proper divisors (223543137748).

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

221444510252 is a wasteful number, since it uses less digits than its factorization.

221444510252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18518 (or 18516 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 221444510252 its reverse (252015444122), we get a palindrome (473459954374).

The spelling of 221444510252 in words is "two hundred twenty-one billion, four hundred forty-four million, five hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 239 478 956 1673 2039 3346 4078 6692 8156 14273 16229 28546 32458 57092 64916 113603 227206 454412 487321 974642 1949284 3411247 3878731 6822494 7757462 13644988 15514924 27151117 33090931 54302234 66181862 108604468 132363724 231636517 463273034 926546068 7908732509 15817465018 31634930036 55361127563 110722255126 221444510252