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22973940 = 223251141283
BaseRepresentation
bin101011110100…
…0110111110100
31121020012022200
41113220313310
521340131230
62140224500
7366163263
oct127506764
947205280
1022973940
1111a71730
12783b130
1349b4c62
1430a05da
15203c160
hex15e8df4

22973940 has 144 divisors (see below), whose sum is σ = 78152256. Its totient is φ = 5414400.

The previous prime is 22973933. The next prime is 22973947. The reversal of 22973940 is 4937922.

It is an interprime number because it is at equal distance from previous prime (22973933) and next prime (22973947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22973895 and 22973904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22973947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81039 + ... + 81321.

It is an arithmetic number, because the mean of its divisors is an integer number (542724).

Almost surely, 222973940 is an apocalyptic number.

22973940 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 22973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39076128).

22973940 is an abundant number, since it is smaller than the sum of its proper divisors (55178316).

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

22973940 is a wasteful number, since it uses less digits than its factorization.

22973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 22973940 is about 4793.1138104577. The cubic root of 22973940 is about 284.2792498960.

The spelling of 22973940 in words is "twenty-two million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 283 330 369 396 410 451 492 495 566 615 660 738 820 849 902 990 1132 1230 1353 1415 1476 1698 1804 1845 1980 2255 2460 2547 2706 2830 3113 3396 3690 4059 4245 4510 5094 5412 5660 6226 6765 7380 8118 8490 9020 9339 10188 11603 12452 12735 13530 15565 16236 16980 18678 20295 23206 25470 27060 28017 31130 34809 37356 40590 46412 46695 50940 56034 58015 62260 69618 81180 93390 104427 112068 116030 127633 139236 140085 174045 186780 208854 232060 255266 280170 348090 382899 417708 510532 522135 560340 638165 696180 765798 1044270 1148697 1276330 1531596 1914495 2088540 2297394 2552660 3828990 4594788 5743485 7657980 11486970 22973940