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23213340 = 22325294447
BaseRepresentation
bin101100010001…
…1010100011100
31121200100201100
41120203110130
521420311330
62145313100
7401211243
oct130432434
947610640
1023213340
1112115587
127935790
134a69c07
14312395a
152088060
hex162351c

23213340 has 72 divisors (see below), whose sum is σ = 72858240. Its totient is φ = 5975424.

The previous prime is 23213317. The next prime is 23213341. The reversal of 23213340 is 4331232.

23213340 is a `hidden beast` number, since 2 + 321 + 3 + 340 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23213341) 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, 2997 + ... + 7443.

It is an arithmetic number, because the mean of its divisors is an integer number (1011920).

Almost surely, 223213340 is an apocalyptic number.

23213340 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 23213340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36429120).

23213340 is an abundant number, since it is smaller than the sum of its proper divisors (49644900).

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

23213340 is a wasteful number, since it uses less digits than its factorization.

23213340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 23213340 is about 4818.0224158881. The cubic root of 23213340 is about 285.2632839417.

Adding to 23213340 its reverse (4331232), we get a palindrome (27544572).

The spelling of 23213340 in words is "twenty-three million, two hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4447 5220 8894 13341 17788 22235 26682 40023 44470 53364 66705 80046 88940 128963 133410 160092 200115 257926 266820 386889 400230 515852 644815 773778 800460 1160667 1289630 1547556 1934445 2321334 2579260 3868890 4642668 5803335 7737780 11606670 23213340