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1163221420 = 225192732207
BaseRepresentation
bin100010101010101…
…0101100110101100
310000001210202210211
41011111111212230
54340241041140
6311231512204
740553135044
oct10525254654
93001722724
101163221420
11547676519
12285688664
13156cb7cca
14b06b8724
156c1c32ea
hex455559ac

1163221420 has 72 divisors (see below), whose sum is σ = 2614598784. Its totient is φ = 434564352.

The previous prime is 1163221417. The next prime is 1163221421. The reversal of 1163221420 is 241223611.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1163221391 and 1163221400.

It is not an unprimeable number, because it can be changed into a prime (1163221421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525957 + ... + 528163.

It is an arithmetic number, because the mean of its divisors is an integer number (36313872).

Almost surely, 21163221420 is an apocalyptic number.

1163221420 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 1163221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307299392).

1163221420 is an abundant number, since it is smaller than the sum of its proper divisors (1451377364).

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

1163221420 is a wasteful number, since it uses less digits than its factorization.

1163221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1163221420 is about 34106.0320178117. The cubic root of 1163221420 is about 1051.6893199405.

The spelling of 1163221420 in words is "one billion, one hundred sixty-three million, two hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 361 365 380 722 730 1387 1444 1460 1805 2207 2774 3610 4414 5548 6935 7220 8828 11035 13870 22070 26353 27740 41933 44140 52706 83866 105412 131765 161111 167732 209665 263530 322222 419330 527060 644444 796727 805555 838660 1593454 1611110 3061109 3186908 3222220 3983635 6122218 7967270 12244436 15305545 15934540 30611090 58161071 61222180 116322142 232644284 290805355 581610710 1163221420