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220261671260 = 225197113958733
BaseRepresentation
bin1100110100100010011…
…1100110000101011100
3210001112102012020020022
43031020213212011130
512102043441440020
6245104204011312
721625201212611
oct3151047460534
9701472166208
10220261671260
1185459a75764
1236831230b38
1317a02c94977
14a937040508
155ae217c625
hex33489e615c

220261671260 has 96 divisors (see below), whose sum is σ = 497312524800. Its totient is φ = 81698561280.

The previous prime is 220261671199. The next prime is 220261671299. The reversal of 220261671260 is 62176162022.

It is a self number, because there is not a number n which added to its sum of digits gives 220261671260.

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, 3720854 + ... + 3779586.

It is an arithmetic number, because the mean of its divisors is an integer number (5180338800).

Almost surely, 2220261671260 is an apocalyptic number.

220261671260 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 220261671260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248656262400).

220261671260 is an abundant number, since it is smaller than the sum of its proper divisors (277050853540).

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

220261671260 is a wasteful number, since it uses less digits than its factorization.

220261671260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58971 (or 58969 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 220261671260 in words is "two hundred twenty billion, two hundred sixty-one million, six hundred seventy-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 139 142 190 278 284 355 380 556 695 710 1349 1390 1420 2641 2698 2780 5282 5396 6745 9869 10564 13205 13490 19738 26410 26980 39476 49345 52820 58733 98690 117466 187511 197380 234932 293665 375022 587330 750044 937555 1115927 1174660 1875110 2231854 3750220 4170043 4463708 5579635 8163887 8340086 11159270 16327774 16680172 20850215 22318540 32655548 40819435 41700430 79230817 81638870 83400860 155113853 158461634 163277740 310227706 316923268 396154085 579635977 620455412 775569265 792308170 1159271954 1551138530 1584616340 2318543908 2898179885 3102277060 5796359770 11013083563 11592719540 22026167126 44052334252 55065417815 110130835630 220261671260