Search a number
-
+
22284064 = 2511293759
BaseRepresentation
bin101010100000…
…0011100100000
31112221010222201
41111000130200
521201042224
62113342544
7360261055
oct125003440
945833881
1022284064
1111640390
127567a54
134802c4a
142d6102c
151e52a44
hex1540720

22284064 has 96 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 9354240.

The previous prime is 22284061. The next prime is 22284077. The reversal of 22284064 is 46048222.

It is not an unprimeable number, because it can be changed into a prime (22284061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377667 + ... + 377725.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 222284064 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 22284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

22284064 is an abundant number, since it is smaller than the sum of its proper divisors (29426336).

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

22284064 is a wasteful number, since it uses less digits than its factorization.

22284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 22284064 is about 4720.5999618693. The cubic root of 22284064 is about 281.4047770957.

The spelling of 22284064 in words is "twenty-two million, two hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 37 44 58 59 74 88 116 118 148 176 232 236 296 319 352 407 464 472 592 638 649 814 928 944 1073 1184 1276 1298 1628 1711 1888 2146 2183 2552 2596 3256 3422 4292 4366 5104 5192 6512 6844 8584 8732 10208 10384 11803 13024 13688 17168 17464 18821 20768 23606 24013 27376 34336 34928 37642 47212 48026 54752 63307 69856 75284 94424 96052 126614 150568 188848 192104 253228 301136 377696 384208 506456 602272 696377 768416 1012912 1392754 2025824 2785508 5571016 11142032 22284064