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20222064 = 2432317443
BaseRepresentation
bin100110100100…
…1000001110000
31102001101110100
41031021001300
520134101224
62001232400
7333612312
oct115110160
942041410
1020222064
1110462155
126932700
134260525
1429857b2
151b96ac9
hex1349070

20222064 has 60 divisors (see below), whose sum is σ = 56900376. Its totient is φ = 6704256.

The previous prime is 20222063. The next prime is 20222087. The reversal of 20222064 is 46022202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45427 + ... + 45869.

Almost surely, 220222064 is an apocalyptic number.

20222064 is a gapful number since it is divisible by the number (24) 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 20222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28450188).

20222064 is an abundant number, since it is smaller than the sum of its proper divisors (36678312).

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

20222064 is a wasteful number, since it uses less digits than its factorization.

20222064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20222064 is about 4496.8949287258. The cubic root of 20222064 is about 272.4426903019.

Adding to 20222064 its reverse (46022202), we get a palindrome (66244266).

The spelling of 20222064 in words is "twenty million, two hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 443 634 886 951 1268 1329 1772 1902 2536 2658 2853 3544 3804 3987 5072 5316 5706 7088 7608 7974 10632 11412 15216 15948 21264 22824 31896 45648 63792 140431 280862 421293 561724 842586 1123448 1263879 1685172 2246896 2527758 3370344 5055516 6740688 10111032 20222064