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22214320 = 2452312073
BaseRepresentation
bin101010010111…
…1011010110000
31112210121022121
41110233122300
521141324240
62112044024
7356550532
oct124573260
945717277
1022214320
11115a2a47
127533614
1347aa28b
142d43852
151e3c04a
hex152f6b0

22214320 has 40 divisors (see below), whose sum is σ = 53898336. Its totient is φ = 8498688.

The previous prime is 22214317. The next prime is 22214323. The reversal of 22214320 is 2341222.

It is an interprime number because it is at equal distance from previous prime (22214317) and next prime (22214323).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 22214294 and 22214303.

It is not an unprimeable number, because it can be changed into a prime (22214323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4197 + ... + 7876.

Almost surely, 222214320 is an apocalyptic number.

22214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22214320 is an abundant number, since it is smaller than the sum of its proper divisors (31684016).

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

22214320 is a wasteful number, since it uses less digits than its factorization.

22214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109 (or 12103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22214320 is about 4713.2069761469. The cubic root of 22214320 is about 281.1108928546.

Adding to 22214320 its reverse (2341222), we get a palindrome (24555542).

The spelling of 22214320 in words is "twenty-two million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 12073 24146 48292 60365 96584 120730 193168 241460 277679 482920 555358 965840 1110716 1388395 2221432 2776790 4442864 5553580 11107160 22214320