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2999381220 = 22325112236793
BaseRepresentation
bin1011001011000110…
…1110110011100100
321202000212100112100
42302301232303210
522120320144340
61213343052100
7134220214443
oct26261566344
97660770470
102999381220
1112aa088560
126b85a1030
1338a5289b4
142064c4d5a
151284c0830
hexb2c6ece4

2999381220 has 144 divisors (see below), whose sum is σ = 9971200512. Its totient is φ = 723755520.

The previous prime is 2999381197. The next prime is 2999381221. The reversal of 2999381220 is 221839992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2999381221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438144 + ... + 444936.

It is an arithmetic number, because the mean of its divisors is an integer number (69244448).

Almost surely, 22999381220 is an apocalyptic number.

2999381220 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 2999381220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985600256).

2999381220 is an abundant number, since it is smaller than the sum of its proper divisors (6971819292).

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

2999381220 is a wasteful number, since it uses less digits than its factorization.

2999381220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7037 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2999381220 is about 54766.6067964777. The cubic root of 2999381220 is about 1442.1504040236.

The spelling of 2999381220 in words is "two billion, nine hundred ninety-nine million, three hundred eighty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 223 330 396 446 495 660 669 892 990 1115 1338 1980 2007 2230 2453 2676 3345 4014 4460 4906 6690 6793 7359 8028 9812 10035 12265 13380 13586 14718 20070 20379 22077 24530 27172 29436 33965 36795 40140 40758 44154 49060 61137 67930 73590 74723 81516 88308 101895 110385 122274 135860 147180 149446 203790 220770 224169 244548 298892 305685 373615 407580 441540 448338 611370 672507 747230 896676 1120845 1222740 1345014 1494460 1514839 2241690 2690028 3029678 3362535 4483380 4544517 6059356 6725070 7574195 9089034 13450140 13633551 15148390 16663229 18178068 22722585 27267102 30296780 33326458 45445170 49989687 54534204 66652916 68167755 83316145 90890340 99979374 136335510 149969061 166632290 199958748 249948435 272671020 299938122 333264580 499896870 599876244 749845305 999793740 1499690610 2999381220