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23231772 = 223631257
BaseRepresentation
bin101100010011…
…1110100011100
31121201022000000
41120213310130
521421404042
62145534300
7401316054
oct130476434
947638000
1023231772
1112128413
127944390
134a75415
14312a564
15208d74c
hex1627d1c

23231772 has 84 divisors (see below), whose sum is σ = 63166656. Its totient is φ = 7464960.

The previous prime is 23231723. The next prime is 23231773. The reversal of 23231772 is 27713232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23231773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 90268 + ... + 90524.

It is an arithmetic number, because the mean of its divisors is an integer number (751984).

Almost surely, 223231772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23231772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31583328).

23231772 is an abundant number, since it is smaller than the sum of its proper divisors (39934884).

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

23231772 is a wasteful number, since it uses less digits than its factorization.

23231772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its digits is 3528, while the sum is 27.

The square root of 23231772 is about 4819.9348543315. The cubic root of 23231772 is about 285.3387661401.

It can be divided in two parts, 2323 and 1772, that added together give a triangular number (4095 = T90).

The spelling of 23231772 in words is "twenty-three million, two hundred thirty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 257 279 324 372 486 514 558 729 771 837 972 1028 1116 1458 1542 1674 2313 2511 2916 3084 3348 4626 5022 6939 7533 7967 9252 10044 13878 15066 15934 20817 22599 23901 27756 30132 31868 41634 45198 47802 62451 71703 83268 90396 95604 124902 143406 187353 215109 249804 286812 374706 430218 645327 749412 860436 1290654 1935981 2581308 3871962 5807943 7743924 11615886 23231772