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223201031020 = 225112197346747
BaseRepresentation
bin1100111111011111010…
…0010111001101101100
3210100010021010011210121
43033313310113031230
512124103430443040
6250312004414324
722061062313602
oct3176764271554
9710107104717
10223201031020
1186728188200
12373116a73a4
1318080c369b6
14ab3557d872
155c15243c4a
hex33f7d1736c

223201031020 has 72 divisors (see below), whose sum is σ = 515479163472. Its totient is φ = 81121138560.

The previous prime is 223201030999. The next prime is 223201031047. The reversal of 223201031020 is 20130102322.

It is a super-3 number, since 3×2232010310203 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223201030985 and 223201031003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4751287 + ... + 4798033.

It is an arithmetic number, because the mean of its divisors is an integer number (7159432826).

Almost surely, 2223201031020 is an apocalyptic number.

223201031020 is a gapful number since it is divisible by the number (20) 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 223201031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257739581736).

223201031020 is an abundant number, since it is smaller than the sum of its proper divisors (292278132452).

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

223201031020 is a wasteful number, since it uses less digits than its factorization.

223201031020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48751 (or 48738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 223201031020 its reverse (20130102322), we get a palindrome (243331133342).

The spelling of 223201031020 in words is "two hundred twenty-three billion, two hundred one million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1973 2420 3946 7892 9865 19730 21703 39460 43406 46747 86812 93494 108515 186988 217030 233735 238733 434060 467470 477466 514217 934940 954932 1028434 1193665 2056868 2387330 2571085 4774660 5142170 5656387 10284340 11312774 22625548 28281935 56563870 92231831 113127740 184463662 368927324 461159155 922318310 1014550141 1844636620 2029100282 4058200564 5072750705 10145501410 11160051551 20291002820 22320103102 44640206204 55800257755 111600515510 223201031020