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2145335000 = 23543891103
BaseRepresentation
bin111111111011111…
…0011011011011000
312112111211022100212
41333313303123120
513343201210000
6552513550252
7104110021664
oct17767633330
95474738325
102145335000
11a00a92a36
124ba575388
13282601ac3
14164ccb8a4
15c851ec35
hex7fdf36d8

2145335000 has 80 divisors (see below), whose sum is σ = 5044010400. Its totient is φ = 855152000.

The previous prime is 2145334979. The next prime is 2145335029. The reversal of 2145335000 is 5335412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1944449 + ... + 1945551.

It is an arithmetic number, because the mean of its divisors is an integer number (63050130).

Almost surely, 22145335000 is an apocalyptic number.

2145335000 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 2145335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522005200).

2145335000 is an abundant number, since it is smaller than the sum of its proper divisors (2898675400).

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

2145335000 is a wasteful number, since it uses less digits than its factorization.

2145335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 2145335000 is about 46317.7611721465. The cubic root of 2145335000 is about 1289.7287252823.

The spelling of 2145335000 in words is "two billion, one hundred forty-five million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 389 500 625 778 1000 1103 1250 1556 1945 2206 2500 3112 3890 4412 5000 5515 7780 8824 9725 11030 15560 19450 22060 27575 38900 44120 48625 55150 77800 97250 110300 137875 194500 220600 243125 275750 389000 429067 486250 551500 689375 858134 972500 1103000 1378750 1716268 1945000 2145335 2757500 3432536 4290670 5515000 8581340 10726675 17162680 21453350 42906700 53633375 85813400 107266750 214533500 268166875 429067000 536333750 1072667500 2145335000