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22142064 = 243765899
BaseRepresentation
bin101010001110…
…1110001110000
31112122221012110
41110131301300
521132021224
62110325320
7356130060
oct124356160
945587173
1022142064
111155372a
1274b9840
134783419
142d253a0
151e25929
hex151dc70

22142064 has 40 divisors (see below), whose sum is σ = 65372800. Its totient is φ = 6326208.

The previous prime is 22142059. The next prime is 22142089. The reversal of 22142064 is 46024122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22142064.

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, 32614 + ... + 33285.

It is an arithmetic number, because the mean of its divisors is an integer number (1634320).

Almost surely, 222142064 is an apocalyptic number.

22142064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22142064 is an abundant number, since it is smaller than the sum of its proper divisors (43230736).

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

22142064 is a wasteful number, since it uses less digits than its factorization.

22142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65917 (or 65911 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22142064 is about 4705.5354636853. The cubic root of 22142064 is about 280.8057741850.

Adding to 22142064 its reverse (46024122), we get a palindrome (68166186).

It can be divided in two parts, 2214 and 2064, that added together give a triangular number (4278 = T92).

The spelling of 22142064 in words is "twenty-two million, one hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 65899 131798 197697 263596 395394 461293 527192 790788 922586 1054384 1383879 1581576 1845172 2767758 3163152 3690344 5535516 7380688 11071032 22142064