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23214800 = 245278291
BaseRepresentation
bin101100010001…
…1101011010000
31121200102201102
41120203223100
521420333200
62145323532
7401215430
oct130435320
947612642
1023214800
1112116694
1279365a8
134a6a78b
1431242c0
1520886d5
hex1623ad0

23214800 has 60 divisors (see below), whose sum is σ = 63748896. Its totient is φ = 7958400.

The previous prime is 23214791. The next prime is 23214811. The reversal of 23214800 is 841232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1346 + ... + 6945.

Almost surely, 223214800 is an apocalyptic number.

23214800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214800 is an abundant number, since it is smaller than the sum of its proper divisors (40534096).

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

23214800 is a wasteful number, since it uses less digits than its factorization.

23214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8316 (or 8305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 23214800 is about 4818.1739279524. The cubic root of 23214800 is about 285.2692643487.

The spelling of 23214800 in words is "twenty-three million, two hundred fourteen thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 8291 16582 33164 41455 58037 66328 82910 116074 132656 165820 207275 232148 290185 331640 414550 464296 580370 663280 829100 928592 1160740 1450925 1658200 2321480 2901850 3316400 4642960 5803700 11607400 23214800