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22775340 = 22357211257
BaseRepresentation
bin101011011100…
…0011000101100
31120212002220010
41112320120230
521312302330
62132053220
7364405260
oct126703054
946762803
1022775340
11119464a5
127764210
134945743
14304c0a0
151eed3b0
hex15b862c

22775340 has 96 divisors (see below), whose sum is σ = 73511424. Its totient is φ = 5160960.

The previous prime is 22775339. The next prime is 22775369. The reversal of 22775340 is 4357722.

It is a super-2 number, since 2×227753402 = 1037432224231200, which contains 22 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 22775298 and 22775307.

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, 88492 + ... + 88748.

It is an arithmetic number, because the mean of its divisors is an integer number (765744).

Almost surely, 222775340 is an apocalyptic number.

22775340 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 22775340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36755712).

22775340 is an abundant number, since it is smaller than the sum of its proper divisors (50736084).

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

22775340 is a wasteful number, since it uses less digits than its factorization.

22775340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 22775340 is about 4772.3516215803. The cubic root of 22775340 is about 283.4577200868.

The spelling of 22775340 in words is "twenty-two million, seven hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 211 257 420 422 514 633 771 844 1028 1055 1266 1285 1477 1542 1799 2110 2532 2570 2954 3084 3165 3598 3855 4220 4431 5140 5397 5908 6330 7196 7385 7710 8862 8995 10794 12660 14770 15420 17724 17990 21588 22155 26985 29540 35980 44310 53970 54227 88620 107940 108454 162681 216908 271135 325362 379589 542270 650724 759178 813405 1084540 1138767 1518356 1626810 1897945 2277534 3253620 3795890 4555068 5693835 7591780 11387670 22775340