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2121851400 = 233524018819
BaseRepresentation
bin111111001111000…
…1110001000001000
312110212122012220220
41332132032020020
513321143221100
6550314350040
7103403303454
oct17636161010
95425565826
102121851400
119998033a9
124b272b320
1327a79bb96
14161b37664
15c6431aa0
hex7e78e208

2121851400 has 96 divisors (see below), whose sum is σ = 6594890400. Its totient is φ = 564352000.

The previous prime is 2121851377. The next prime is 2121851411. The reversal of 2121851400 is 41581212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236191 + ... + 245009.

It is an arithmetic number, because the mean of its divisors is an integer number (68696775).

Almost surely, 22121851400 is an apocalyptic number.

2121851400 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 2121851400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297445200).

2121851400 is an abundant number, since it is smaller than the sum of its proper divisors (4473039000).

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

2121851400 is a wasteful number, since it uses less digits than its factorization.

2121851400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2121851400 is about 46063.5582646413. The cubic root of 2121851400 is about 1285.0055059896.

The spelling of 2121851400 in words is "two billion, one hundred twenty-one million, eight hundred fifty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 401 600 802 1203 1604 2005 2406 3208 4010 4812 6015 8020 8819 9624 10025 12030 16040 17638 20050 24060 26457 30075 35276 40100 44095 48120 52914 60150 70552 80200 88190 105828 120300 132285 176380 211656 220475 240600 264570 352760 440950 529140 661425 881900 1058280 1322850 1763800 2645700 3536419 5291400 7072838 10609257 14145676 17682095 21218514 28291352 35364190 42437028 53046285 70728380 84874056 88410475 106092570 141456760 176820950 212185140 265231425 353641900 424370280 530462850 707283800 1060925700 2121851400