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2240064 = 26323889
BaseRepresentation
bin1000100010111001000000
311012210210100
420202321000
51033140224
6120002400
725016541
oct10427100
94183710
102240064
11129aaa2
12900400
136057a8
144244c8
152e3ac9
hex222e40

2240064 has 42 divisors (see below), whose sum is σ = 6422390. Its totient is φ = 746496.

The previous prime is 2240057. The next prime is 2240071. The reversal of 2240064 is 4600422.

2240064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2240057) and next prime (2240071).

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 166464 = 1440^2 + 408^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1369 + ... + 2520.

22240064 is an apocalyptic number.

2240064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2240064 is an abundant number, since it is smaller than the sum of its proper divisors (4182326).

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

2240064 is a wasteful number, since it uses less digits than its factorization.

2240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3894 counting only the distinct ones).

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

The square root of 2240064 is about 1496.6843354562. The cubic root of 2240064 is about 130.8438985162.

Adding to 2240064 its reverse (4600422), we get a palindrome (6840486).

The spelling of 2240064 in words is "two million, two hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3889 7778 11667 15556 23334 31112 35001 46668 62224 70002 93336 124448 140004 186672 248896 280008 373344 560016 746688 1120032 2240064