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2220672060 = 2232561263769
BaseRepresentation
bin1000010001011100…
…1100010000111100
312201202120211101100
42010113030100330
514021443001220
61004204413100
7106013254365
oct20427142074
95652524340
102220672060
11a3a569872
1251b847190
132950bb949
14170cdcb6c
15cee51d90
hex845cc43c

2220672060 has 144 divisors (see below), whose sum is σ = 6881434560. Its totient is φ = 579502080.

The previous prime is 2220672043. The next prime is 2220672061. The reversal of 2220672060 is 602760222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220672061) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2887356 + ... + 2888124.

It is an arithmetic number, because the mean of its divisors is an integer number (47787740).

Almost surely, 22220672060 is an apocalyptic number.

2220672060 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 2220672060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3440717280).

2220672060 is an abundant number, since it is smaller than the sum of its proper divisors (4660762500).

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

2220672060 is a wasteful number, since it uses less digits than its factorization.

2220672060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2220672060 is about 47124.0072574479. The cubic root of 2220672060 is about 1304.6523758104.

The spelling of 2220672060 in words is "two billion, two hundred twenty million, six hundred seventy-two thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 263 305 366 526 549 610 732 769 789 915 1052 1098 1220 1315 1538 1578 1830 2196 2307 2367 2630 2745 3076 3156 3660 3845 3945 4614 4734 5260 5490 6921 7690 7890 9228 9468 10980 11535 11835 13842 15380 15780 16043 23070 23670 27684 32086 34605 46140 46909 47340 48129 64172 69210 80215 93818 96258 138420 140727 144387 160430 187636 192516 202247 234545 240645 281454 288774 320860 404494 422181 469090 481290 562908 577548 606741 703635 721935 808988 844362 938180 962580 1011235 1213482 1407270 1443870 1688724 1820223 2022470 2110905 2426964 2814540 2887740 3033705 3640446 4044940 4221810 6067410 7280892 8443620 9101115 12134820 12337067 18202230 24674134 36404460 37011201 49348268 61685335 74022402 111033603 123370670 148044804 185056005 222067206 246741340 370112010 444134412 555168015 740224020 1110336030 2220672060