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22097340 = 22335151271
BaseRepresentation
bin101010001001…
…0110110111100
31112120122212000
41110102312330
521124103330
62105342300
7355552506
oct124226674
945518760
1022097340
1111523071
127497990
134768c65
142d12d76
151e17560
hex1512dbc

22097340 has 96 divisors (see below), whose sum is σ = 69457920. Its totient is φ = 5832000.

The previous prime is 22097291. The next prime is 22097351. The reversal of 22097340 is 4379022.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81405 + ... + 81675.

It is an arithmetic number, because the mean of its divisors is an integer number (723520).

Almost surely, 222097340 is an apocalyptic number.

22097340 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 22097340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34728960).

22097340 is an abundant number, since it is smaller than the sum of its proper divisors (47360580).

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

22097340 is a wasteful number, since it uses less digits than its factorization.

22097340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 22097340 is about 4700.7807862099. The cubic root of 22097340 is about 280.6165834120.

The spelling of 22097340 in words is "twenty-two million, ninety-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 151 180 270 271 302 453 540 542 604 755 813 906 1084 1355 1359 1510 1626 1812 2265 2439 2710 2718 3020 3252 4065 4077 4530 4878 5420 5436 6795 7317 8130 8154 9060 9756 12195 13590 14634 16260 16308 20385 24390 27180 29268 36585 40770 40921 48780 73170 81540 81842 122763 146340 163684 204605 245526 368289 409210 491052 613815 736578 818420 1104867 1227630 1473156 1841445 2209734 2455260 3682890 4419468 5524335 7365780 11048670 22097340