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2200044120 = 23351710710079
BaseRepresentation
bin1000001100100010…
…0000001001011000
312200022202211011120
42003020200021120
514001202402440
61002150325240
7105343031541
oct20310401130
95608684146
102200044120
11a2995a78a
12514959820
13290a48771
1416c28d4c8
15cd229dd0
hex83220258

2200044120 has 128 divisors (see below), whose sum is σ = 7054387200. Its totient is φ = 546953216.

The previous prime is 2200044109. The next prime is 2200044149. The reversal of 2200044120 is 214400022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2200044120.

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, 213241 + ... + 223319.

It is an arithmetic number, because the mean of its divisors is an integer number (55112400).

Almost surely, 22200044120 is an apocalyptic number.

2200044120 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 2200044120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527193600).

2200044120 is an abundant number, since it is smaller than the sum of its proper divisors (4854343080).

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

2200044120 is a wasteful number, since it uses less digits than its factorization.

2200044120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2200044120 is about 46904.6279166566. The cubic root of 2200044120 is about 1300.6001410500.

Adding to 2200044120 its reverse (214400022), we get a palindrome (2414444142).

The spelling of 2200044120 in words is "two billion, two hundred million, forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 107 120 136 170 204 214 255 321 340 408 428 510 535 642 680 856 1020 1070 1284 1605 1819 2040 2140 2568 3210 3638 4280 5457 6420 7276 9095 10079 10914 12840 14552 18190 20158 21828 27285 30237 36380 40316 43656 50395 54570 60474 72760 80632 100790 109140 120948 151185 171343 201580 218280 241896 302370 342686 403160 514029 604740 685372 856715 1028058 1078453 1209480 1370744 1713430 2056116 2156906 2570145 3235359 3426860 4112232 4313812 5140290 5392265 6470718 6853720 8627624 10280580 10784530 12941436 16176795 18333701 20561160 21569060 25882872 32353590 36667402 43138120 55001103 64707180 73334804 91668505 110002206 129414360 146669608 183337010 220004412 275005515 366674020 440008824 550011030 733348040 1100022060 2200044120