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22245504 = 273193049
BaseRepresentation
bin101010011011…
…1000010000000
31112212012002120
41110313002000
521143324004
62112444240
7360040461
oct124670200
945765076
1022245504
1111614416
127549680
1347bb528
142d50d68
151e463d9
hex1537080

22245504 has 64 divisors (see below), whose sum is σ = 62220000. Its totient is φ = 7022592.

The previous prime is 22245497. The next prime is 22245521. The reversal of 22245504 is 40554222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 5772 + ... + 8820.

Almost surely, 222245504 is an apocalyptic number.

22245504 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 22245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31110000).

22245504 is an abundant number, since it is smaller than the sum of its proper divisors (39974496).

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

22245504 is a wasteful number, since it uses less digits than its factorization.

22245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 22245504 is about 4716.5139669039. The cubic root of 22245504 is about 281.2423705585.

Adding to 22245504 its reverse (40554222), we get a palindrome (62799726).

The spelling of 22245504 in words is "twenty-two million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3049 3648 6098 7296 9147 12196 18294 24392 36588 48784 57931 73176 97568 115862 146352 173793 195136 231724 292704 347586 390272 463448 585408 695172 926896 1170816 1390344 1853792 2780688 3707584 5561376 7415168 11122752 22245504