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112221240 = 23353197311
BaseRepresentation
bin1101011000001…
…01110000111000
321211011102121020
412230011300320
5212212034430
615045142440
72531602425
oct654056070
9254142536
10112221240
115838952a
12316baa20
131a332401
1410c92d4c
159cbab10
hex6b05c38

112221240 has 128 divisors (see below), whose sum is σ = 352235520. Its totient is φ = 28569600.

The previous prime is 112221227. The next prime is 112221283. The reversal of 112221240 is 42122211.

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

It is a congruent number.

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, 360685 + ... + 360995.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2112221240 is an apocalyptic number.

112221240 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 112221240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

112221240 is an abundant number, since it is smaller than the sum of its proper divisors (240014280).

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

112221240 is a wasteful number, since it uses less digits than its factorization.

112221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

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

The square root of 112221240 is about 10593.4526949432. The cubic root of 112221240 is about 482.3456368585.

Adding to 112221240 its reverse (42122211), we get a palindrome (154343451).

The spelling of 112221240 in words is "one hundred twelve million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 155 186 194 248 291 310 311 372 388 465 485 582 620 622 744 776 930 933 970 1164 1240 1244 1455 1555 1860 1866 1940 2328 2488 2910 3007 3110 3720 3732 3880 4665 5820 6014 6220 7464 9021 9330 9641 11640 12028 12440 15035 18042 18660 19282 24056 28923 30070 30167 36084 37320 38564 45105 48205 57846 60140 60334 72168 77128 90210 90501 96410 115692 120280 120668 144615 150835 180420 181002 192820 231384 241336 289230 301670 360840 362004 385640 452505 578460 603340 724008 905010 935177 1156920 1206680 1810020 1870354 2805531 3620040 3740708 4675885 5611062 7481416 9351770 11222124 14027655 18703540 22444248 28055310 37407080 56110620 112221240