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22107540 = 22357134049
BaseRepresentation
bin101010001010…
…1010110010100
31112121011211210
41110111112110
521124420130
62105501420
7355624320
oct124252624
945534753
1022107540
111152a7a4
1274a1870
1347707b0
142d16980
151e1a5b0
hex1515594

22107540 has 96 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 4663296.

The previous prime is 22107523. The next prime is 22107563. The reversal of 22107540 is 4570122.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436 + ... + 7484.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 222107540 is an apocalyptic number.

22107540 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 22107540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

22107540 is an abundant number, since it is smaller than the sum of its proper divisors (54097260).

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

22107540 is a wasteful number, since it uses less digits than its factorization.

22107540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4081 (or 4079 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 22107540 is about 4701.8655871898. The cubic root of 22107540 is about 280.6597537492.

Adding to 22107540 its reverse (4570122), we get a palindrome (26677662).

The spelling of 22107540 in words is "twenty-two million, one hundred seven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4049 5460 8098 12147 16196 20245 24294 28343 40490 48588 52637 56686 60735 80980 85029 105274 113372 121470 141715 157911 170058 210548 242940 263185 283430 315822 340116 368459 425145 526370 566860 631644 736918 789555 850290 1052740 1105377 1473836 1579110 1700580 1842295 2210754 3158220 3684590 4421508 5526885 7369180 11053770 22107540