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22320064 = 2613139193
BaseRepresentation
bin101010100100…
…1001111000000
31112222222101001
41111021033000
521203220224
62114221344
7360501034
oct125111700
945888331
1022320064
1111665438
127584854
134816450
142d701c4
151e5d544
hex15493c0

22320064 has 56 divisors (see below), whose sum is σ = 48290480. Its totient is φ = 10174464.

The previous prime is 22320059. The next prime is 22320101. The reversal of 22320064 is 46002322.

It is a super-3 number, since 3×223200643 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

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, 115552 + ... + 115744.

It is an arithmetic number, because the mean of its divisors is an integer number (862330).

Almost surely, 222320064 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 22320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145240).

22320064 is an abundant number, since it is smaller than the sum of its proper divisors (25970416).

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

22320064 is a wasteful number, since it uses less digits than its factorization.

22320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 22320064 is about 4724.4114977423. The cubic root of 22320064 is about 281.5562324368.

Adding to 22320064 its reverse (46002322), we get a palindrome (68322386).

The spelling of 22320064 in words is "twenty-two million, three hundred twenty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 139 193 208 278 386 416 556 772 832 1112 1544 1807 2224 2509 3088 3614 4448 5018 6176 7228 8896 10036 12352 14456 20072 26827 28912 40144 53654 57824 80288 107308 115648 160576 214616 348751 429232 697502 858464 1395004 1716928 2790008 5580016 11160032 22320064