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21226140 = 223251347193
BaseRepresentation
bin101000011111…
…0001010011100
31110221101210100
41100332022130
520413214030
62034541100
7345263535
oct120761234
943841710
1021226140
1110a88571
127137790
134522560
142b6768c
151ce4360
hex143e29c

21226140 has 144 divisors (see below), whose sum is σ = 71180928. Its totient is φ = 5087232.

The previous prime is 21226111. The next prime is 21226141. The reversal of 21226140 is 4162212.

21226140 = T130 + T131 + ... + T505.

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 (21226141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109884 + ... + 110076.

It is an arithmetic number, because the mean of its divisors is an integer number (494312).

Almost surely, 221226140 is an apocalyptic number.

21226140 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 21226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35590464).

21226140 is an abundant number, since it is smaller than the sum of its proper divisors (49954788).

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

21226140 is a wasteful number, since it uses less digits than its factorization.

21226140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21226140 is about 4607.1835214152. The cubic root of 21226140 is about 276.8792063694.

Adding to 21226140 its reverse (4162212), we get a palindrome (25388352).

The spelling of 21226140 in words is "twenty-one million, two hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 47 52 60 65 78 90 94 117 130 141 156 180 188 193 195 234 235 260 282 386 390 423 468 470 564 579 585 611 705 772 780 846 940 965 1158 1170 1222 1410 1692 1737 1833 1930 2115 2316 2340 2444 2509 2820 2895 3055 3474 3666 3860 4230 5018 5499 5790 6110 6948 7332 7527 8460 8685 9071 9165 10036 10998 11580 12220 12545 15054 17370 18142 18330 21996 22581 25090 27213 27495 30108 34740 36284 36660 37635 45162 45355 50180 54426 54990 75270 81639 90324 90710 108852 109980 112905 117923 136065 150540 163278 181420 225810 235846 272130 326556 353769 408195 451620 471692 544260 589615 707538 816390 1061307 1179230 1415076 1632780 1768845 2122614 2358460 3537690 4245228 5306535 7075380 10613070 21226140