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23214420 = 22325128969
BaseRepresentation
bin101100010001…
…1100101010100
31121200102012100
41120203211110
521420330140
62145322100
7401214345
oct130434524
947612170
1023214420
1112116379
127936330
134a6a558
1431240cc
152088530
hex1623954

23214420 has 36 divisors (see below), whose sum is σ = 70417620. Its totient is φ = 6190464.

The previous prime is 23214407. The next prime is 23214421. The reversal of 23214420 is 2441232.

23214420 is a `hidden beast` number, since 232 + 14 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8191044 + 15023376 = 2862^2 + 3876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 23214393 and 23214402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214421) by changing a digit.

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, 64305 + ... + 64664.

It is an arithmetic number, because the mean of its divisors is an integer number (1956045).

Almost surely, 223214420 is an apocalyptic number.

23214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23214420 is an abundant number, since it is smaller than the sum of its proper divisors (47203200).

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

23214420 is a wasteful number, since it uses less digits than its factorization.

23214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128984 (or 128979 counting only the distinct ones).

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

The square root of 23214420 is about 4818.1344937642. The cubic root of 23214420 is about 285.2677078285.

Adding to 23214420 its reverse (2441232), we get a palindrome (25655652).

The spelling of 23214420 in words is "twenty-three million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 128969 257938 386907 515876 644845 773814 1160721 1289690 1547628 1934535 2321442 2579380 3869070 4642884 5803605 7738140 11607210 23214420