Search a number
-
+
2330103000 = 233531940879
BaseRepresentation
bin1000101011100010…
…1000110011011000
320000101111111102010
42022320220303120
514233001244000
61023114105520
7111512356131
oct21270506330
96011444363
102330103000
11a96311965
1255041b2a0
132b1984c94
14181666c88
15d986ad50
hex8ae28cd8

2330103000 has 128 divisors (see below), whose sum is σ = 7652736000. Its totient is φ = 588643200.

The previous prime is 2330102959. The next prime is 2330103001. The reversal of 2330103000 is 3010332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330103001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36561 + ... + 77439.

It is an arithmetic number, because the mean of its divisors is an integer number (59787000).

Almost surely, 22330103000 is an apocalyptic number.

2330103000 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 2330103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826368000).

2330103000 is an abundant number, since it is smaller than the sum of its proper divisors (5322633000).

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

2330103000 is a wasteful number, since it uses less digits than its factorization.

2330103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40922 (or 40908 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2330103000 is about 48271.1404464407. The cubic root of 2330103000 is about 1325.7400399003.

Adding to 2330103000 its reverse (3010332), we get a palindrome (2333113332).

The spelling of 2330103000 in words is "two billion, three hundred thirty million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3800 4750 5700 7125 9500 11400 14250 19000 28500 40879 57000 81758 122637 163516 204395 245274 327032 408790 490548 613185 776701 817580 981096 1021975 1226370 1553402 1635160 2043950 2330103 2452740 3065925 3106804 3883505 4087900 4660206 4905480 5109875 6131850 6213608 7767010 8175800 9320412 10219750 11650515 12263700 15329625 15534020 18640824 19417525 20439500 23301030 24527400 30659250 31068040 38835050 40879000 46602060 58252575 61318500 77670100 93204120 97087625 116505150 122637000 155340200 194175250 233010300 291262875 388350500 466020600 582525750 776701000 1165051500 2330103000