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23112227440 = 245292477309
BaseRepresentation
bin10101100001100110…
…001001101001110000
32012122201201210200201
4111201212021221300
5334313212234230
614341223124544
71445512456201
oct254146115160
965581653621
1023112227440
119890282615
1245902a3754
1322443c4333
1411937835a8
159040cc5ca
hex561989a70

23112227440 has 120 divisors (see below), whose sum is σ = 56844665280. Its totient is φ = 8734989312.

The previous prime is 23112227389. The next prime is 23112227443. The reversal of 23112227440 is 4472221132.

It is a junction number, because it is equal to n+sod(n) for n = 23112227399 and 23112227408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23112227443) 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, 3158506 + ... + 3165814.

It is an arithmetic number, because the mean of its divisors is an integer number (473705544).

Almost surely, 223112227440 is an apocalyptic number.

23112227440 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 23112227440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422332640).

23112227440 is an abundant number, since it is smaller than the sum of its proper divisors (33732437840).

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

23112227440 is a wasteful number, since it uses less digits than its factorization.

23112227440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7427 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 23112227440 its reverse (4472221132), we get a palindrome (27584448572).

The spelling of 23112227440 in words is "twenty-three billion, one hundred twelve million, two hundred twenty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 80 94 116 145 188 232 235 290 376 464 470 580 752 841 940 1160 1363 1682 1880 2320 2726 3364 3760 4205 5452 6728 6815 7309 8410 10904 13456 13630 14618 16820 21808 27260 29236 33640 36545 39527 54520 58472 67280 73090 79054 109040 116944 146180 158108 197635 211961 292360 316216 343523 395270 423922 584720 632432 687046 790540 847844 1059805 1374092 1581080 1695688 1717615 2119610 2748184 3162160 3391376 3435230 4239220 5496368 6146869 6870460 8478440 9962167 12293738 13740920 16956880 19924334 24587476 27481840 30734345 39848668 49174952 49810835 61468690 79697336 98349904 99621670 122937380 159394672 199243340 245874760 288902843 398486680 491749520 577805686 796973360 1155611372 1444514215 2311222744 2889028430 4622445488 5778056860 11556113720 23112227440