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2151921900 = 2235241533301
BaseRepresentation
bin1000000001000011…
…1011100011101100
312112222012221220010
42000100323203230
513401343000100
6553311053220
7104220014532
oct20020734354
95488187803
102151921900
11a04781857
12500811210
13283a99c8b
14165b24152
15c8dc1750
hex8043b8ec

2151921900 has 144 divisors (see below), whose sum is σ = 6500396448. Its totient is φ = 549120000.

The previous prime is 2151921853. The next prime is 2151921901. The reversal of 2151921900 is 91291512.

It is a super-2 number, since 2×21519219002 = 9261535727399220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2151921901) 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, 650250 + ... + 653550.

It is an arithmetic number, because the mean of its divisors is an integer number (45141642).

Almost surely, 22151921900 is an apocalyptic number.

2151921900 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 2151921900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250198224).

2151921900 is an abundant number, since it is smaller than the sum of its proper divisors (4348474548).

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

2151921900 is a wasteful number, since it uses less digits than its factorization.

2151921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3405 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 2151921900 is about 46388.8122288122. The cubic root of 2151921900 is about 1291.0473436566.

The spelling of 2151921900 in words is "two billion, one hundred fifty-one million, nine hundred twenty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 53 60 75 82 100 106 123 150 159 164 205 212 246 265 300 318 410 492 530 615 636 795 820 1025 1060 1230 1325 1590 2050 2173 2460 2650 3075 3180 3301 3975 4100 4346 5300 6150 6519 6602 7950 8692 9903 10865 12300 13038 13204 15900 16505 19806 21730 26076 32595 33010 39612 43460 49515 54325 65190 66020 82525 99030 108650 130380 135341 162975 165050 174953 198060 217300 247575 270682 325950 330100 349906 406023 495150 524859 541364 651900 676705 699812 812046 874765 990300 1049718 1353410 1624092 1749530 2030115 2099436 2624295 2706820 3383525 3499060 4060230 4373825 5248590 6767050 7173073 8120460 8747650 10150575 10497180 13121475 13534100 14346146 17495300 20301150 21519219 26242950 28692292 35865365 40602300 43038438 52485900 71730730 86076876 107596095 143461460 179326825 215192190 358653650 430384380 537980475 717307300 1075960950 2151921900