[go: up one dir, main page]

Search a number
-
+
2330530000 = 24541713709
BaseRepresentation
bin1000101011101001…
…0001000011010000
320000102022012010221
42022322101003100
514233103430000
61023131202424
7111516115051
oct21272210320
96012265127
102330530000
11a96583757
125505a6414
132b1aa4446
14181738728
15d990261a
hex8ae910d0

2330530000 has 100 divisors (see below), whose sum is σ = 5974790580. Its totient is φ = 877312000.

The previous prime is 2330529991. The next prime is 2330530003. The reversal of 2330530000 is 350332.

It can be written as a sum of positive squares in 10 ways, for example, as 1008189504 + 1322340496 = 31752^2 + 36364^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330530003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 163146 + ... + 176854.

Almost surely, 22330530000 is an apocalyptic number.

2330530000 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 2330530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987395290).

2330530000 is an abundant number, since it is smaller than the sum of its proper divisors (3644260580).

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

2330530000 is a wasteful number, since it uses less digits than its factorization.

2330530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13754 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 16.

The square root of 2330530000 is about 48275.5631764146. The cubic root of 2330530000 is about 1325.8210172106.

Adding to 2330530000 its reverse (350332), we get a palindrome (2330880332).

The spelling of 2330530000 in words is "two billion, three hundred thirty million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8500 10000 10625 13709 17000 21250 27418 34000 42500 54836 68545 85000 109672 137090 170000 219344 233053 274180 342725 466106 548360 685450 932212 1096720 1165265 1370900 1713625 1864424 2330530 2741800 3427250 3728848 4661060 5483600 5826325 6854500 8568125 9322120 11652650 13709000 17136250 18644240 23305300 27418000 29131625 34272500 46610600 58263250 68545000 93221200 116526500 137090000 145658125 233053000 291316250 466106000 582632500 1165265000 2330530000