Search a number
-
+
2333300130 = 2325721927847
BaseRepresentation
bin1000101100010011…
…0101010110100010
320000121111221001100
42023010311112202
514234311101010
61023310415230
7111551503200
oct21304652642
96017457040
102333300130
11a980a5a17
12551501516
132b2534285
14181c5a070
15d9c9d2c0
hex8b1355a2

2333300130 has 144 divisors (see below), whose sum is σ = 7428732480. Its totient is φ = 505237824.

The previous prime is 2333300093. The next prime is 2333300153. The reversal of 2333300130 is 310033332.

2333300130 is a `hidden beast` number, since 2 + 333 + 300 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69867 + ... + 97713.

It is an arithmetic number, because the mean of its divisors is an integer number (51588420).

Almost surely, 22333300130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2333300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714366240).

2333300130 is an abundant number, since it is smaller than the sum of its proper divisors (5095432350).

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

2333300130 is a wasteful number, since it uses less digits than its factorization.

2333300130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27893 (or 27883 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 2333300130 is about 48304.2454655903. The cubic root of 2333300130 is about 1326.3461112707.

Adding to 2333300130 its reverse (310033332), we get a palindrome (2643333462).

The spelling of 2333300130 in words is "two billion, three hundred thirty-three million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 735 798 855 882 931 1197 1330 1470 1710 1862 1995 2205 2394 2793 3990 4410 4655 5586 5985 8379 9310 11970 13965 16758 27847 27930 41895 55694 83541 83790 139235 167082 194929 250623 278470 389858 417705 501246 529093 584787 835410 974645 1058186 1169574 1253115 1364503 1587279 1754361 1949290 2506230 2645465 2729006 2923935 3174558 3508722 3703651 4093509 4761837 5290930 5847870 6822515 7407302 7936395 8187018 8771805 9523674 11110953 12280527 13645030 15872790 17543610 18518255 20467545 22221906 23809185 24561054 25925557 33332859 37036510 40935090 47618370 51851114 55554765 61402635 66665718 77776671 111109530 122805270 129627785 155553342 166664295 233330013 259255570 333328590 388883355 466660026 777766710 1166650065 2333300130