Search a number
-
+
22352064 = 263716631
BaseRepresentation
bin101010101000…
…1000011000000
31120001121021020
41111101003000
521210231224
62115025440
7360663240
oct125210300
946047236
1022352064
1111687489
12759b280
134827b97
142d7bb20
151e67c79
hex15510c0

22352064 has 56 divisors (see below), whose sum is σ = 67592448. Its totient is φ = 6385920.

The previous prime is 22352051. The next prime is 22352101. The reversal of 22352064 is 46025322.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×223520642 = 999229530120192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6972 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 222352064 is an apocalyptic number.

22352064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22352064 is an abundant number, since it is smaller than the sum of its proper divisors (45240384).

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

22352064 is a wasteful number, since it uses less digits than its factorization.

22352064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16653 (or 16643 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 22352064 is about 4727.7969499546. The cubic root of 22352064 is about 281.6907227488.

Adding to 22352064 its reverse (46025322), we get a palindrome (68377386).

The spelling of 22352064 in words is "twenty-two million, three hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 16631 33262 49893 66524 99786 116417 133048 199572 232834 266096 349251 399144 465668 532192 698502 798288 931336 1064384 1397004 1596576 1862672 2794008 3193152 3725344 5588016 7450688 11176032 22352064