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112212480 = 293519769
BaseRepresentation
bin1101011000000…
…11101000000000
321211010222120210
412230003220000
5212211244410
615045034120
72531535042
oct654035000
9254128523
10112212480
1158382996
12316b5940
131a32b423
1410c8da92
159cb8220
hex6b03a00

112212480 has 160 divisors (see below), whose sum is σ = 378100800. Its totient is φ = 28311552.

The previous prime is 112212437. The next prime is 112212481. The reversal of 112212480 is 84212211.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (112212481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145536 + ... + 146304.

It is an arithmetic number, because the mean of its divisors is an integer number (2363130).

Almost surely, 2112212480 is an apocalyptic number.

112212480 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 112212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189050400).

112212480 is an abundant number, since it is smaller than the sum of its proper divisors (265888320).

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

112212480 is an equidigital number, since it uses as much as digits as its factorization.

112212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 112212480 is about 10593.0392239432. The cubic root of 112212480 is about 482.3330858841. Note that the first 3 decimals are identical.

Adding to 112212480 its reverse (84212211), we get a palindrome (196424691).

The spelling of 112212480 in words is "one hundred twelve million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 769 912 960 1140 1216 1280 1520 1536 1538 1824 1920 2280 2307 2432 2560 3040 3076 3648 3840 3845 4560 4614 4864 6080 6152 7296 7680 7690 9120 9228 9728 11535 12160 12304 14592 14611 15380 18240 18456 23070 24320 24608 29184 29222 30760 36480 36912 43833 46140 48640 49216 58444 61520 72960 73055 73824 87666 92280 98432 116888 123040 145920 146110 147648 175332 184560 196864 219165 233776 246080 292220 295296 350664 369120 393728 438330 467552 492160 584440 590592 701328 738240 876660 935104 984320 1168880 1181184 1402656 1476480 1753320 1870208 1968640 2337760 2805312 2952960 3506640 3740416 4675520 5610624 5905920 7013280 7480832 9351040 11221248 14026560 18702080 22442496 28053120 37404160 56106240 112212480