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2899243100 = 22521329531451
BaseRepresentation
bin1010110011001110…
…1111000001011100
321111001102210212002
42230303233001130
521414201234400
61155404501432
7131563105535
oct25463570134
97431383762
102899243100
111258602286
1268ab4a878
13372867380
141d709968c
1511e7deed5
hexaccef05c

2899243100 has 144 divisors (see below), whose sum is σ = 7146105120. Its totient is φ = 1013376000.

The previous prime is 2899243093. The next prime is 2899243111. The reversal of 2899243100 is 13429982.

It is a super-2 number, since 2×28992431002 = 16811221105795220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 1997375 + ... + 1998825.

It is an arithmetic number, because the mean of its divisors is an integer number (49625730).

Almost surely, 22899243100 is an apocalyptic number.

2899243100 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 2899243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573052560).

2899243100 is an abundant number, since it is smaller than the sum of its proper divisors (4246862020).

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

2899243100 is a wasteful number, since it uses less digits than its factorization.

2899243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 2899243100 is about 53844.6199726584. The cubic root of 2899243100 is about 1425.9190705933.

The spelling of 2899243100 in words is "two billion, eight hundred ninety-nine million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 29 50 52 53 58 65 100 106 116 130 145 212 260 265 290 325 377 530 580 650 689 725 754 1060 1300 1325 1378 1450 1451 1508 1537 1885 2650 2756 2900 2902 3074 3445 3770 5300 5804 6148 6890 7255 7540 7685 9425 13780 14510 15370 17225 18850 18863 19981 29020 30740 34450 36275 37700 37726 38425 39962 42079 68900 72550 75452 76850 76903 79924 84158 94315 99905 145100 153700 153806 168316 188630 199810 210395 307612 377260 384515 399620 420790 471575 499525 547027 769030 841580 943150 999050 999739 1051975 1094054 1538060 1886300 1922575 1998100 1999478 2103950 2188108 2230187 2735135 3845150 3998956 4207900 4460374 4998695 5470270 7690300 8920748 9997390 10940540 11150935 13675675 19994780 22301870 24993475 27351350 28992431 44603740 49986950 54702700 55754675 57984862 99973900 111509350 115969724 144962155 223018700 289924310 579848620 724810775 1449621550 2899243100