Search a number
-
+
2210331130220 = 2251943148990847
BaseRepresentation
bin100000001010100010000…
…000000111100101101100
321211022020202222022212002
4200022202000013211230
5242203224232131340
64411225003031432
7315456031420163
oct40124200074554
97738222868762
102210331130220
1178243a333034
122b846350b578
1313058304b045
1478da2a8c3da
153c76841c715
hex202a200796c

2210331130220 has 96 divisors (see below), whose sum is σ = 5003035699200. Its totient is φ = 817561672704.

The previous prime is 2210331130219. The next prime is 2210331130237. The reversal of 2210331130220 is 220311330122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2210331130192 and 2210331130201.

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, 24284837 + ... + 24375683.

It is an arithmetic number, because the mean of its divisors is an integer number (52114955200).

Almost surely, 22210331130220 is an apocalyptic number.

2210331130220 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 2210331130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501517849600).

2210331130220 is an abundant number, since it is smaller than the sum of its proper divisors (2792704568980).

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

2210331130220 is a wasteful number, since it uses less digits than its factorization.

2210331130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92407 (or 92405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2210331130220 its reverse (220311330122), we get a palindrome (2430642460342).

The spelling of 2210331130220 in words is "two trillion, two hundred ten billion, three hundred thirty-one million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 172 190 215 380 430 817 860 1489 1634 2978 3268 4085 5956 7445 8170 14890 16340 28291 29780 56582 64027 90847 113164 128054 141455 181694 256108 282910 320135 363388 454235 565820 640270 908470 1216513 1280540 1726093 1816940 2433026 3452186 3906421 4866052 6082565 6904372 7812842 8630465 12165130 15625684 17260930 19532105 24330260 34521860 39064210 74221999 78128420 135271183 148443998 270542366 296887996 371109995 541084732 676355915 742219990 1352711830 1484439980 2570152477 2705423660 5140304954 5816660869 10280609908 11633321738 12850762385 23266643476 25701524770 29083304345 51403049540 58166608690 110516556511 116333217380 221033113022 442066226044 552582782555 1105165565110 2210331130220