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112212240 = 24357173929
BaseRepresentation
bin1101011000000…
…11100100010000
321211010222020220
412230003210100
5212211242430
615045033040
72531534250
oct654034420
9254128226
10112212240
1158382798
12316b5780
131a32b29a
1410c8d960
159cb8110
hex6b03910

112212240 has 160 divisors (see below), whose sum is σ = 421044480. Its totient is φ = 24133632.

The previous prime is 112212227. The next prime is 112212253. The reversal of 112212240 is 42212211.

It is an interprime number because it is at equal distance from previous prime (112212227) and next prime (112212253).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26596 + ... + 30524.

It is an arithmetic number, because the mean of its divisors is an integer number (2631528).

Almost surely, 2112212240 is an apocalyptic number.

112212240 is a gapful number since it is divisible by the number (10) 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 112212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210522240).

112212240 is an abundant number, since it is smaller than the sum of its proper divisors (308832240).

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

112212240 is a wasteful number, since it uses less digits than its factorization.

112212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3969 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 112212240 is about 10593.0278957435. The cubic root of 112212240 is about 482.3327420126.

Adding to 112212240 its reverse (42212211), we get a palindrome (154424451).

The spelling of 112212240 in words is "one hundred twelve million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 3929 4080 4760 5712 7140 7858 9520 11787 14280 15716 19645 23574 27503 28560 31432 39290 47148 55006 58935 62864 66793 78580 82509 94296 110012 117870 133586 137515 157160 165018 188592 200379 220024 235740 267172 275030 314320 330036 333965 400758 412545 440048 467551 471480 534344 550060 660072 667930 801516 825090 935102 942960 1001895 1068688 1100120 1320144 1335860 1402653 1603032 1650180 1870204 2003790 2200240 2337755 2671720 2805306 3206064 3300360 3740408 4007580 4675510 5343440 5610612 6600720 7013265 7480816 8015160 9351020 11221224 14026530 16030320 18702040 22442448 28053060 37404080 56106120 112212240