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22117140 = 223251929223
BaseRepresentation
bin101010001011…
…1101100010100
31112121200000100
41110113230110
521130222030
62110014100
7355664313
oct124275424
945550010
1022117140
1111536a31
1274a7330
134774c86
142d1a27a
151e1d360
hex1517b14

22117140 has 144 divisors (see below), whose sum is σ = 73382400. Its totient is φ = 5370624.

The previous prime is 22117103. The next prime is 22117171. The reversal of 22117140 is 4171122.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99069 + ... + 99291.

It is an arithmetic number, because the mean of its divisors is an integer number (509600).

Almost surely, 222117140 is an apocalyptic number.

22117140 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 22117140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36691200).

22117140 is an abundant number, since it is smaller than the sum of its proper divisors (51265260).

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

22117140 is a wasteful number, since it uses less digits than its factorization.

22117140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 22117140 is about 4702.8863477656. The cubic root of 22117140 is about 280.7003725265.

Adding to 22117140 its reverse (4171122), we get a palindrome (26288262).

The spelling of 22117140 in words is "twenty-two million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 29 30 36 38 45 57 58 60 76 87 90 95 114 116 145 171 174 180 190 223 228 261 285 290 342 348 380 435 446 522 551 570 580 669 684 855 870 892 1044 1102 1115 1140 1305 1338 1653 1710 1740 2007 2204 2230 2610 2676 2755 3306 3345 3420 4014 4237 4460 4959 5220 5510 6467 6612 6690 8028 8265 8474 9918 10035 11020 12711 12934 13380 16530 16948 19401 19836 20070 21185 24795 25422 25868 32335 33060 38133 38802 40140 42370 49590 50844 58203 63555 64670 76266 77604 84740 97005 99180 116406 122873 127110 129340 152532 190665 194010 232812 245746 254220 291015 368619 381330 388020 491492 582030 614365 737238 762660 1105857 1164060 1228730 1474476 1843095 2211714 2457460 3686190 4423428 5529285 7372380 11058570 22117140