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2332121000 = 235311415171
BaseRepresentation
bin1000101100000001…
…0101011110101000
320000112022000120212
42023000111132220
514234010333000
61023225240252
7111535462406
oct21300253650
96015260525
102332121000
11a97470030
12551033088
132b2210671
14181a30476
15d9b18c35
hex8b0157a8

2332121000 has 128 divisors (see below), whose sum is σ = 6099649920. Its totient is φ = 827200000.

The previous prime is 2332120993. The next prime is 2332121017. The reversal of 2332121000 is 1212332.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 448415 + ... + 453585.

It is an arithmetic number, because the mean of its divisors is an integer number (47653515).

Almost surely, 22332121000 is an apocalyptic number.

2332121000 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 2332121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049824960).

2332121000 is an abundant number, since it is smaller than the sum of its proper divisors (3767528920).

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

2332121000 is a wasteful number, since it uses less digits than its factorization.

2332121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2332121000 is about 48292.0386813396. The cubic root of 2332121000 is about 1326.1226512326.

Adding to 2332121000 its reverse (1212332), we get a palindrome (2333333332).

The spelling of 2332121000 in words is "two billion, three hundred thirty-two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 41 44 50 55 82 88 100 110 125 164 200 205 220 250 275 328 410 440 451 500 550 820 902 1000 1025 1100 1375 1640 1804 2050 2200 2255 2750 3608 4100 4510 5125 5171 5500 8200 9020 10250 10342 11000 11275 18040 20500 20684 22550 25855 41000 41368 45100 51710 56375 56881 90200 103420 112750 113762 129275 206840 212011 225500 227524 258550 284405 424022 451000 455048 517100 568810 646375 848044 1034200 1060055 1137620 1292750 1422025 1696088 2120110 2275240 2332121 2585500 2844050 4240220 4664242 5171000 5300275 5688100 7110125 8480440 9328484 10600550 11376200 11660605 14220250 18656968 21201100 23321210 26501375 28440500 42402200 46642420 53002750 56881000 58303025 93284840 106005500 116606050 212011000 233212100 291515125 466424200 583030250 1166060500 2332121000