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22026240 = 211325239
BaseRepresentation
bin101010000000…
…1100000000000
31112110001022200
41110001200000
521114314430
62104033200
7355135305
oct124014000
945401280
1022026240
1111484705
127462800
1347427a2
142cd50ac
151e01460
hex1501800

22026240 has 144 divisors (see below), whose sum is σ = 76658400. Its totient is φ = 5849088.

The previous prime is 22026233. The next prime is 22026247. The reversal of 22026240 is 4262022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (22026233) and next prime (22026247).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22026247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92041 + ... + 92279.

It is an arithmetic number, because the mean of its divisors is an integer number (532350).

Almost surely, 222026240 is an apocalyptic number.

22026240 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 22026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38329200).

22026240 is an abundant number, since it is smaller than the sum of its proper divisors (54632160).

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

22026240 is a wasteful number, since it uses less digits than its factorization.

22026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22026240 is about 4693.2121196468. The cubic root of 22026240 is about 280.3152910950.

Adding to 22026240 its reverse (4262022), we get a palindrome (26288262).

The spelling of 22026240 in words is "twenty-two million, twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 239 240 256 288 320 360 384 478 480 512 576 640 717 720 768 956 960 1024 1152 1195 1280 1434 1440 1536 1912 1920 2048 2151 2304 2390 2560 2868 2880 3072 3585 3824 3840 4302 4608 4780 5120 5736 5760 6144 7170 7648 7680 8604 9216 9560 10240 10755 11472 11520 14340 15296 15360 17208 18432 19120 21510 22944 23040 28680 30592 30720 34416 38240 43020 45888 46080 57360 61184 68832 76480 86040 91776 92160 114720 122368 137664 152960 172080 183552 229440 244736 275328 305920 344160 367104 458880 489472 550656 611840 688320 734208 917760 1101312 1223680 1376640 1468416 1835520 2202624 2447360 2753280 3671040 4405248 5506560 7342080 11013120 22026240