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2125146000 = 24353438237
BaseRepresentation
bin111111010101011…
…0010011110010000
312111002211121021010
41332222302132100
513323014133000
6550513130520
7103443304635
oct17652623620
95432747233
102125146000
119a065370a
124b3859a40
1327b383653
1416235418c
15c6882d50
hex7eab2790

2125146000 has 160 divisors (see below), whose sum is σ = 7011658368. Its totient is φ = 553459200.

The previous prime is 2125145987. The next prime is 2125146011. The reversal of 2125146000 is 6415212.

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 31 ways as a sum of consecutive naturals, for example, 253882 + ... + 262118.

Almost surely, 22125146000 is an apocalyptic number.

2125146000 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 2125146000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505829184).

2125146000 is an abundant number, since it is smaller than the sum of its proper divisors (4886512368).

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

2125146000 is a wasteful number, since it uses less digits than its factorization.

2125146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8306 (or 8290 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2125146000 is about 46099.3058516069. The cubic root of 2125146000 is about 1285.6702383499.

The spelling of 2125146000 in words is "two billion, one hundred twenty-five million, one hundred forty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 43 48 50 60 75 80 86 100 120 125 129 150 172 200 215 240 250 258 300 344 375 400 430 500 516 600 645 688 750 860 1000 1032 1075 1200 1290 1500 1720 2000 2064 2150 2580 3000 3225 3440 4300 5160 5375 6000 6450 8237 8600 10320 10750 12900 16125 16474 17200 21500 24711 25800 32250 32948 41185 43000 49422 51600 64500 65896 82370 86000 98844 123555 129000 131792 164740 197688 205925 247110 258000 329480 354191 395376 411850 494220 617775 658960 708382 823700 988440 1029625 1062573 1235550 1416764 1647400 1770955 1976880 2059250 2125146 2471100 2833528 3088875 3294800 3541910 4118500 4250292 4942200 5312865 5667056 6177750 7083820 8237000 8500584 8854775 9884400 10625730 12355500 14167640 16474000 17001168 17709550 21251460 24711000 26564325 28335280 35419100 42502920 44273875 49422000 53128650 70838200 85005840 88547750 106257300 132821625 141676400 177095500 212514600 265643250 354191000 425029200 531286500 708382000 1062573000 2125146000