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23214300 = 22352223347
BaseRepresentation
bin101100010001…
…1100011011100
31121200102000220
41120203203130
521420324200
62145321340
7401214114
oct130434334
947612026
1023214300
111211627a
127936250
134a6a495
143124044
1520884a0
hex16238dc

23214300 has 72 divisors (see below), whose sum is σ = 67662336. Its totient is φ = 6144960.

The previous prime is 23214277. The next prime is 23214307. The reversal of 23214300 is 341232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66727 + ... + 67073.

Almost surely, 223214300 is an apocalyptic number.

23214300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33831168).

23214300 is an abundant number, since it is smaller than the sum of its proper divisors (44448036).

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

23214300 is a wasteful number, since it uses less digits than its factorization.

23214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23214300 is about 4818.1220407956. The cubic root of 23214300 is about 285.2672162923.

Adding to 23214300 its reverse (341232), we get a palindrome (23555532).

The spelling of 23214300 in words is "twenty-three million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 347 446 669 694 892 1041 1115 1338 1388 1735 2082 2230 2676 3345 3470 4164 4460 5205 5575 6690 6940 8675 10410 11150 13380 16725 17350 20820 22300 26025 33450 34700 52050 66900 77381 104100 154762 232143 309524 386905 464286 773810 928572 1160715 1547620 1934525 2321430 3869050 4642860 5803575 7738100 11607150 23214300