Search a number
-
+
2230034000 = 24532348479
BaseRepresentation
bin1000010011101011…
…1001111001010000
312202102012110112212
42010322321321100
514031342042000
61005141211252
7106155655565
oct20472717120
95672173485
102230034000
11a44883607
12522a00b28
13297018c5c
1417225886c
15d0ba0c35
hex84eb9e50

2230034000 has 80 divisors (see below), whose sum is σ = 5626782720. Its totient is φ = 853212800.

The previous prime is 2230033991. The next prime is 2230034113. The reversal of 2230034000 is 4300322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 21761 + ... + 70239.

It is an arithmetic number, because the mean of its divisors is an integer number (70334784).

Almost surely, 22230034000 is an apocalyptic number.

2230034000 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 2230034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813391360).

2230034000 is an abundant number, since it is smaller than the sum of its proper divisors (3396748720).

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

2230034000 is a wasteful number, since it uses less digits than its factorization.

2230034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48525 (or 48509 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2230034000 is about 47223.2358061156. The cubic root of 2230034000 is about 1306.4831959299.

Adding to 2230034000 its reverse (4300322), we get a palindrome (2234334322).

The spelling of 2230034000 in words is "two billion, two hundred thirty million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 48479 96958 193916 242395 387832 484790 775664 969580 1115017 1211975 1939160 2230034 2423950 3878320 4460068 4847900 5575085 6059875 8920136 9695800 11150170 12119750 17840272 19391600 22300340 24239500 27875425 44600680 48479000 55750850 89201360 96958000 111501700 139377125 223003400 278754250 446006800 557508500 1115017000 2230034000