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1000112220 = 2232523376529
BaseRepresentation
bin111011100111001…
…000000001011100
32120200212222001100
4323213020001130
54022012042340
6243123513100
733532546032
oct7347100134
92520788040
101000112220
114735a0128
1223ab28790
1312c2792a3
1496b7a552
155cc04830
hex3b9c805c

1000112220 has 144 divisors (see below), whose sum is σ = 3251626560. Its totient is φ = 248168448.

The previous prime is 1000112219. The next prime is 1000112233. The reversal of 1000112220 is 222110001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 149916 + ... + 156444.

It is an arithmetic number, because the mean of its divisors is an integer number (22580740).

Almost surely, 21000112220 is an apocalyptic number.

1000112220 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 1000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625813280).

1000112220 is an abundant number, since it is smaller than the sum of its proper divisors (2251514340).

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

1000112220 is a wasteful number, since it uses less digits than its factorization.

1000112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6604 (or 6599 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000112220 is about 31624.5509059022. The cubic root of 1000112220 is about 1000.0374052675.

Adding to 1000112220 its reverse (222110001), we get a palindrome (1222222221).

The spelling of 1000112220 in words is "one billion, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 37 45 46 60 69 74 90 92 111 115 138 148 180 185 207 222 230 276 333 345 370 414 444 460 555 666 690 740 828 851 1035 1110 1332 1380 1665 1702 2070 2220 2553 3330 3404 4140 4255 5106 6529 6660 7659 8510 10212 12765 13058 15318 17020 19587 25530 26116 30636 32645 38295 39174 51060 58761 65290 76590 78348 97935 117522 130580 150167 153180 195870 235044 241573 293805 300334 391740 450501 483146 587610 600668 724719 750835 901002 966292 1175220 1207865 1351503 1449438 1501670 1802004 2174157 2252505 2415730 2703006 2898876 3003340 3623595 4348314 4505010 4831460 5406012 5556179 6757515 7247190 8696628 9010020 10870785 11112358 13515030 14494380 16668537 21741570 22224716 27030060 27780895 33337074 43483140 50005611 55561790 66674148 83342685 100011222 111123580 166685370 200022444 250028055 333370740 500056110 1000112220