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1120000220 = 22519131149151
BaseRepresentation
bin100001011000001…
…1101100011011100
32220001110220110122
41002300131203130
54243210001340
6303045254112
736516562523
oct10260354334
92801426418
101120000220
11525235819
12273104338
1314b064231
14a8a674ba
15684d6db5
hex42c1d8dc

1120000220 has 96 divisors (see below), whose sum is σ = 2528064000. Its totient is φ = 415584000.

The previous prime is 1120000183. The next prime is 1120000229. The reversal of 1120000220 is 220000211.

1120000220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1120000198 and 1120000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120000229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7417145 + ... + 7417295.

It is an arithmetic number, because the mean of its divisors is an integer number (26334000).

Almost surely, 21120000220 is an apocalyptic number.

1120000220 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 1120000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264032000).

1120000220 is an abundant number, since it is smaller than the sum of its proper divisors (1408063780).

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

1120000220 is a wasteful number, since it uses less digits than its factorization.

1120000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

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

The square root of 1120000220 is about 33466.4043482415. The cubic root of 1120000220 is about 1038.4988883672.

Adding to 1120000220 its reverse (220000211), we get a palindrome (1340000431).

Subtracting from 1120000220 its reverse (220000211), we obtain a palindrome (900000009).

The spelling of 1120000220 in words is "one billion, one hundred twenty million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 19 20 38 76 95 131 149 151 190 262 298 302 380 524 596 604 655 745 755 1310 1490 1510 2489 2620 2831 2869 2980 3020 4978 5662 5738 9956 11324 11476 12445 14155 14345 19519 19781 22499 24890 28310 28690 39038 39562 44998 49780 56620 57380 78076 79124 89996 97595 98905 112495 195190 197810 224990 370861 375839 390380 395620 427481 449980 741722 751678 854962 1483444 1503356 1709924 1854305 1879195 2137405 2947369 3708610 3758390 4274810 5894738 7417220 7516780 8549620 11789476 14736845 29473690 56000011 58947380 112000022 224000044 280000055 560000110 1120000220