Search a number
-
+
1122000220 = 2251171109659
BaseRepresentation
bin100001011100000…
…0101110101011100
32220012020111221201
41002320011311130
54244213001340
6303200205244
736542562445
oct10270056534
92805214851
101122000220
11526381410
12273909824
1314b5b4673
14a90282cc
156877e79a
hex42e05d5c

1122000220 has 96 divisors (see below), whose sum is σ = 2634508800. Its totient is φ = 397958400.

The previous prime is 1122000203. The next prime is 1122000233. The reversal of 1122000220 is 220002211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1122000197 and 1122000206.

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, 1702251 + ... + 1702909.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 21122000220 is an apocalyptic number.

1122000220 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 1122000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

1122000220 is an abundant number, since it is smaller than the sum of its proper divisors (1512508580).

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

1122000220 is a wasteful number, since it uses less digits than its factorization.

1122000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1122000220 is about 33496.2717328362. The cubic root of 1122000220 is about 1039.1166747618.

Adding to 1122000220 its reverse (220002211), we get a palindrome (1342002431).

It can be divided in two parts, 1 and 122000220, that added together give a palindrome (122000221).

The spelling of 1122000220 in words is "one billion, one hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 71 109 110 142 218 220 284 355 436 545 659 710 781 1090 1199 1318 1420 1562 2180 2398 2636 3124 3295 3905 4796 5995 6590 7249 7739 7810 11990 13180 14498 15478 15620 23980 28996 30956 36245 38695 46789 71831 72490 77390 85129 93578 143662 144980 154780 170258 187156 233945 287324 340516 359155 425645 467890 514679 718310 790141 851290 935780 1029358 1436620 1580282 1702580 2058716 2573395 3160564 3950705 5100001 5146790 7901410 10200002 10293580 15802820 20400004 25500005 51000010 56100011 102000020 112200022 224400044 280500055 561000110 1122000220