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22255040 = 265174091
BaseRepresentation
bin101010011100…
…1010111000000
31112212200011202
41110321113000
521144130130
62113000332
7360110333
oct124712700
945780152
1022255040
11116205a5
1275530a8
1347c2982
142d5461a
151e49145
hex15395c0

22255040 has 56 divisors (see below), whose sum is σ = 56125872. Its totient is φ = 8376320.

The previous prime is 22255031. The next prime is 22255049. The reversal of 22255040 is 4055222.

It is an interprime number because it is at equal distance from previous prime (22255031) and next prime (22255049).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22255049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3395 + ... + 7485.

Almost surely, 222255040 is an apocalyptic number.

22255040 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 22255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062936).

22255040 is an abundant number, since it is smaller than the sum of its proper divisors (33870832).

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

22255040 is a wasteful number, since it uses less digits than its factorization.

22255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 22255040 is about 4717.5247747097. The cubic root of 22255040 is about 281.2825516233.

The spelling of 22255040 in words is "twenty-two million, two hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 4091 5440 8182 16364 20455 32728 40910 65456 69547 81820 130912 139094 163640 261824 278188 327280 347735 556376 654560 695470 1112752 1309120 1390940 2225504 2781880 4451008 5563760 11127520 22255040