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2150452000 = 25531972729
BaseRepresentation
bin1000000000101101…
…0100101100100000
312112212110021120101
42000023110230200
513401003431000
6553215352144
7104201353234
oct20013245440
95485407511
102150452000
11a03968464
12500222654
132836a3c08
141658605c4
15c8bd0e6a
hex802d4b20

2150452000 has 96 divisors (see below), whose sum is σ = 5312427120. Its totient is φ = 855500800.

The previous prime is 2150451967. The next prime is 2150452027. The reversal of 2150452000 is 2540512.

It can be written as a sum of positive squares in 8 ways, for example, as 1102505616 + 1047946384 = 33204^2 + 32372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786636 + ... + 789364.

Almost surely, 22150452000 is an apocalyptic number.

2150452000 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 2150452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656213560).

2150452000 is an abundant number, since it is smaller than the sum of its proper divisors (3161975120).

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

2150452000 is a wasteful number, since it uses less digits than its factorization.

2150452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2150452000 is about 46372.9662626837. The cubic root of 2150452000 is about 1290.7533207895.

Adding to 2150452000 its reverse (2540512), we get a palindrome (2152992512).

The spelling of 2150452000 in words is "two billion, one hundred fifty million, four hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 197 200 250 394 400 500 788 800 985 1000 1576 1970 2000 2729 3152 3940 4000 4925 5458 6304 7880 9850 10916 13645 15760 19700 21832 24625 27290 31520 39400 43664 49250 54580 68225 78800 87328 98500 109160 136450 157600 197000 218320 272900 341125 394000 436640 537613 545800 682250 788000 1075226 1091600 1364500 2150452 2183200 2688065 2729000 4300904 5376130 5458000 8601808 10752260 10916000 13440325 17203616 21504520 26880650 43009040 53761300 67201625 86018080 107522600 134403250 215045200 268806500 430090400 537613000 1075226000 2150452000