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22295040 = 29352903
BaseRepresentation
bin101010100001…
…1001000000000
31112221201001020
41111003020000
521201420130
62113505440
7360335055
oct125031000
945851036
1022295040
1111648659
127572280
134807c41
142d6502c
151e55e10
hex1543200

22295040 has 80 divisors (see below), whose sum is σ = 71299008. Its totient is φ = 5943296.

The previous prime is 22295011. The next prime is 22295051. The reversal of 22295040 is 4059222.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22295040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6229 + ... + 9131.

Almost surely, 222295040 is an apocalyptic number.

22295040 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 22295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35649504).

22295040 is an abundant number, since it is smaller than the sum of its proper divisors (49003968).

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

22295040 is an equidigital number, since it uses as much as digits as its factorization.

22295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 22295040 is about 4721.7623828397. The cubic root of 22295040 is about 281.4509714204.

The spelling of 22295040 in words is "twenty-two million, two hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 2903 3840 5806 7680 8709 11612 14515 17418 23224 29030 34836 43545 46448 58060 69672 87090 92896 116120 139344 174180 185792 232240 278688 348360 371584 464480 557376 696720 743168 928960 1114752 1393440 1486336 1857920 2229504 2786880 3715840 4459008 5573760 7431680 11147520 22295040