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23213400 = 2335275527
BaseRepresentation
bin101100010001…
…1010101011000
31121200100210120
41120203111120
521420312100
62145313240
7401211360
oct130432530
947610716
1023213400
1112115631
127935820
134a69c52
1431239a0
1520880a0
hex1623558

23213400 has 96 divisors (see below), whose sum is σ = 82256640. Its totient is φ = 5304960.

The previous prime is 23213387. The next prime is 23213401. The reversal of 23213400 is 431232.

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 23213400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213401) 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 23 ways as a sum of consecutive naturals, for example, 1437 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (856840).

Almost surely, 223213400 is an apocalyptic number.

23213400 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 23213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41128320).

23213400 is an abundant number, since it is smaller than the sum of its proper divisors (59043240).

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

23213400 is a wasteful number, since it uses less digits than its factorization.

23213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5553 (or 5544 counting only the distinct ones).

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

The square root of 23213400 is about 4818.0286425051. The cubic root of 23213400 is about 285.2635297168.

Adding to 23213400 its reverse (431232), we get a palindrome (23644632).

The spelling of 23213400 in words is "twenty-three million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 5527 11054 16581 22108 27635 33162 38689 44216 55270 66324 77378 82905 110540 116067 132648 138175 154756 165810 193445 221080 232134 276350 309512 331620 386890 414525 464268 552700 580335 663240 773780 829050 928536 967225 1105400 1160670 1547560 1658100 1934450 2321340 2901675 3316200 3868900 4642680 5803350 7737800 11606700 23213400