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22865340 = 22351729773
BaseRepresentation
bin101011100111…
…0010110111100
31121000200100110
41113032112330
521323142330
62134030020
7365231541
oct127162674
947020313
1022865340
11119a8083
1277a8310
1349776b4
143072bc8
152019db0
hex15ce5bc

22865340 has 96 divisors (see below), whose sum is σ = 70217280. Its totient is φ = 5533696.

The previous prime is 22865333. The next prime is 22865351. The reversal of 22865340 is 4356822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22865298 and 22865307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29194 + ... + 29966.

It is an arithmetic number, because the mean of its divisors is an integer number (731430).

Almost surely, 222865340 is an apocalyptic number.

22865340 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 22865340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35108640).

22865340 is an abundant number, since it is smaller than the sum of its proper divisors (47351940).

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

22865340 is a wasteful number, since it uses less digits than its factorization.

22865340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 22865340 is about 4781.7716382111. The cubic root of 22865340 is about 283.8306038678.

It can be divided in two parts, 2286 and 5340, that added together give a triangular number (7626 = T123).

The spelling of 22865340 in words is "twenty-two million, eight hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 773 870 986 1020 1479 1546 1740 1972 2319 2465 2958 3092 3865 4638 4930 5916 7395 7730 9276 9860 11595 13141 14790 15460 22417 23190 26282 29580 39423 44834 46380 52564 65705 67251 78846 89668 112085 131410 134502 157692 197115 224170 262820 269004 336255 381089 394230 448340 672510 762178 788460 1143267 1345020 1524356 1905445 2286534 3810890 4573068 5716335 7621780 11432670 22865340