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22270140 = 2234559233
BaseRepresentation
bin101010011110…
…1000010111100
31112220102220000
41110331002330
521200121030
62113154300
7360202344
oct124750274
945812800
1022270140
1111630982
12755b990
1347c97c9
142d59d24
151e4d860
hex153d0bc

22270140 has 120 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 5812992.

The previous prime is 22270139. The next prime is 22270159. The reversal of 22270140 is 4107222.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95464 + ... + 95696.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 222270140 is an apocalyptic number.

22270140 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 22270140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

22270140 is an abundant number, since it is smaller than the sum of its proper divisors (49081140).

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

22270140 is a wasteful number, since it uses less digits than its factorization.

22270140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22270140 is about 4719.1249188806. The cubic root of 22270140 is about 281.3461537898.

Adding to 22270140 its reverse (4107222), we get a palindrome (26377362).

The spelling of 22270140 in words is "twenty-two million, two hundred seventy thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 233 236 270 295 324 354 405 466 531 540 590 699 708 810 885 932 1062 1165 1180 1398 1593 1620 1770 2097 2124 2330 2655 2796 3186 3495 3540 4194 4660 4779 5310 6291 6372 6990 7965 8388 9558 10485 10620 12582 13747 13980 15930 18873 19116 20970 23895 25164 27494 31455 31860 37746 41241 41940 47790 54988 62910 68735 75492 82482 94365 95580 123723 125820 137470 164964 188730 206205 247446 274940 371169 377460 412410 494892 618615 742338 824820 1113507 1237230 1484676 1855845 2227014 2474460 3711690 4454028 5567535 7423380 11135070 22270140