Search a number
-
+
220351554332 = 227131983383869
BaseRepresentation
bin1100110100110111111…
…0011110001100011100
3210001202200022202121222
43031031332132030130
512102234444214312
6245121134312512
721630342210440
oct3151576361434
9701680282558
10220351554332
11854a5787198
1236857358738
1317a187a5610
14a944d5a820
155ae9ed4672
hex334df9e31c

220351554332 has 96 divisors (see below), whose sum is σ = 505602854400. Its totient is φ = 81588840192.

The previous prime is 220351554331. The next prime is 220351554383. The reversal of 220351554332 is 233455153022.

It is a junction number, because it is equal to n+sod(n) for n = 220351554292 and 220351554301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220351554331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382094 + ... + 765962.

It is an arithmetic number, because the mean of its divisors is an integer number (5266696400).

Almost surely, 2220351554332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220351554332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252801427200).

220351554332 is an abundant number, since it is smaller than the sum of its proper divisors (285251300068).

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

220351554332 is a wasteful number, since it uses less digits than its factorization.

220351554332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383995 (or 383993 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

The spelling of 220351554332 in words is "two hundred twenty billion, three hundred fifty-one million, five hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 83 91 133 166 182 247 266 332 364 494 532 581 988 1079 1162 1577 1729 2158 2324 3154 3458 4316 6308 6916 7553 11039 15106 20501 22078 30212 41002 44156 82004 143507 287014 383869 574028 767738 1535476 2687083 4990297 5374166 7293511 9980594 10748332 14587022 19961188 29174044 31861127 34932079 51054577 63722254 69864158 94815643 102109154 127444508 139728316 189631286 204218308 223027889 379262572 414194651 446055778 605361413 663709501 828389302 892111556 1210722826 1327419002 1656778604 2421445652 2654838004 2899362557 4237529891 5798725114 7869698369 8475059782 11597450228 15739396738 16950119564 31478793476 55087888583 110175777166 220351554332