Search a number
-
+
22212064 = 2571719307
BaseRepresentation
bin101010010111…
…0110111100000
31112210111020001
41110232313200
521141241224
62112025344
7356541130
oct124566740
945714201
1022212064
11115a1286
127532254
1347a9244
142d42ac0
151e3b544
hex152ede0

22212064 has 96 divisors (see below), whose sum is σ = 55883520. Its totient is φ = 8460288.

The previous prime is 22212049. The next prime is 22212077. The reversal of 22212064 is 46021222.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72199 + ... + 72505.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 222212064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27941760).

22212064 is an abundant number, since it is smaller than the sum of its proper divisors (33671456).

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

22212064 is a wasteful number, since it uses less digits than its factorization.

22212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22212064 is about 4712.9676425794. The cubic root of 22212064 is about 281.1013763559.

Adding to 22212064 its reverse (46021222), we get a palindrome (68233286).

The spelling of 22212064 in words is "twenty-two million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 307 323 476 532 544 608 614 646 952 1064 1228 1292 1904 2128 2149 2261 2456 2584 3808 4256 4298 4522 4912 5168 5219 5833 8596 9044 9824 10336 10438 11666 17192 18088 20876 23332 34384 36176 36533 40831 41752 46664 68768 72352 73066 81662 83504 93328 99161 146132 163324 167008 186656 198322 292264 326648 396644 584528 653296 694127 793288 1169056 1306592 1388254 1586576 2776508 3173152 5553016 11106032 22212064