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22100040 = 2334519359
BaseRepresentation
bin101010001001…
…1100001001000
31112120210120000
41110103201020
521124200130
62105403000
7355563414
oct124234110
945523500
1022100040
11115250a6
127499460
13476a261
142d13d44
151e18260
hex1513848

22100040 has 160 divisors (see below), whose sum is σ = 78408000. Its totient is φ = 5567616.

The previous prime is 22099999. The next prime is 22100041. The reversal of 22100040 is 4000122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22099995 and 22100031.

It is not an unprimeable number, because it can be changed into a prime (22100041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61381 + ... + 61739.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 222100040 is an apocalyptic number.

22100040 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 22100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39204000).

22100040 is an abundant number, since it is smaller than the sum of its proper divisors (56307960).

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

22100040 is a wasteful number, since it uses less digits than its factorization.

22100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 22100040 is about 4701.0679637716. The cubic root of 22100040 is about 280.6280121468.

Adding to 22100040 its reverse (4000122), we get a palindrome (26100162).

The spelling of 22100040 in words is "twenty-two million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 359 360 380 405 456 513 540 570 648 684 718 760 810 855 1026 1077 1080 1140 1368 1436 1539 1620 1710 1795 2052 2154 2280 2565 2872 3078 3231 3240 3420 3590 4104 4308 5130 5385 6156 6462 6821 6840 7180 7695 8616 9693 10260 10770 12312 12924 13642 14360 15390 16155 19386 20463 20520 21540 25848 27284 29079 30780 32310 34105 38772 40926 43080 48465 54568 58158 61389 61560 64620 68210 77544 81852 96930 102315 116316 122778 129240 136420 145395 163704 184167 193860 204630 232632 245556 272840 290790 306945 368334 387720 409260 491112 552501 581580 613890 736668 818520 920835 1105002 1163160 1227780 1473336 1841670 2210004 2455560 2762505 3683340 4420008 5525010 7366680 11050020 22100040