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2201244120 = 233358922901
BaseRepresentation
bin1000001100110100…
…0101000111011000
312200102000210021000
42003031011013120
514002004302440
61002232145000
7105356160225
oct20315050730
95612023230
102201244120
11a2a5aa319
12515238160
13291078a1a
1416c4c294c
15cd3b5730
hex833451d8

2201244120 has 128 divisors (see below), whose sum is σ = 7420248000. Its totient is φ = 580377600.

The previous prime is 2201244077. The next prime is 2201244139. The reversal of 2201244120 is 214421022.

2201244120 is a `hidden beast` number, since 2 + 201 + 2 + 441 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2201244093 and 2201244102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84670 + ... + 107570.

Almost surely, 22201244120 is an apocalyptic number.

2201244120 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 2201244120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710124000).

2201244120 is an abundant number, since it is smaller than the sum of its proper divisors (5219003880).

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

2201244120 is a wasteful number, since it uses less digits than its factorization.

2201244120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23010 (or 23000 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2201244120 is about 46917.4180875291. The cubic root of 2201244120 is about 1300.8365660804.

Adding to 2201244120 its reverse (214421022), we get a palindrome (2415665142).

The spelling of 2201244120 in words is "two billion, two hundred one million, two hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 178 180 216 267 270 356 360 445 534 540 712 801 890 1068 1080 1335 1602 1780 2136 2403 2670 3204 3560 4005 4806 5340 6408 8010 9612 10680 12015 16020 19224 22901 24030 32040 45802 48060 68703 91604 96120 114505 137406 183208 206109 229010 274812 343515 412218 458020 549624 618327 687030 824436 916040 1030545 1236654 1374060 1648872 2038189 2061090 2473308 2748120 3091635 4076378 4122180 4946616 6114567 6183270 8152756 8244360 10190945 12229134 12366540 16305512 18343701 20381890 24458268 24733080 30572835 36687402 40763780 48916536 55031103 61145670 73374804 81527560 91718505 110062206 122291340 146749608 183437010 220124412 244582680 275155515 366874020 440248824 550311030 733748040 1100622060 2201244120