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220135104 = 2633718199
BaseRepresentation
bin11010001111011…
…11111011000000
3120100020000121000
431013233323000
5422323310404
633502132000
75312055210
oct1507577300
9510200530
10220135104
11103295842
1261881000
13367b7077
1421344240
15144d5339
hexd1efec0

220135104 has 112 divisors (see below), whose sum is σ = 739648000. Its totient is φ = 62892288.

The previous prime is 220135099. The next prime is 220135141. The reversal of 220135104 is 401531022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2997 + ... + 21195.

It is an arithmetic number, because the mean of its divisors is an integer number (6604000).

Almost surely, 2220135104 is an apocalyptic number.

220135104 is a gapful number since it is divisible by the number (24) 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 220135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369824000).

220135104 is an abundant number, since it is smaller than the sum of its proper divisors (519512896).

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

220135104 is a wasteful number, since it uses less digits than its factorization.

220135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18227 (or 18211 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 220135104 is about 14836.9506300992. The cubic root of 220135104 is about 603.8046237373.

Adding to 220135104 its reverse (401531022), we get a palindrome (621666126).

The spelling of 220135104 in words is "two hundred twenty million, one hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4032 6048 12096 18199 36398 54597 72796 109194 127393 145592 163791 218388 254786 291184 327582 382179 436776 491373 509572 582368 655164 764358 873552 982746 1019144 1146537 1164736 1310328 1528716 1747104 1965492 2038288 2293074 2620656 3057432 3439611 3494208 3930984 4076576 4586148 5241312 6114864 6879222 7861968 8153152 9172296 10482624 12229728 13758444 15723936 18344592 24459456 27516888 31447872 36689184 55033776 73378368 110067552 220135104