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2233013190 = 2351923712399
BaseRepresentation
bin1000010100011001…
…0001001111000110
312202121210211020020
42011012101033012
514033122410230
61005325120010
7106223204352
oct20506211706
95677724206
102233013190
11a46528951
125239b9006
1329781cca5
141727d2462
15d108d810
hex851913c6

2233013190 has 128 divisors (see below), whose sum is σ = 5971968000. Its totient is φ = 531780480.

The previous prime is 2233013183. The next prime is 2233013191. The reversal of 2233013190 is 913103322.

It is a super-2 number, since 2×22330131902 = 9972695813427952200, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2233013190.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233013191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929611 + ... + 932009.

It is an arithmetic number, because the mean of its divisors is an integer number (46656000).

Almost surely, 22233013190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233013190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984000).

2233013190 is an abundant number, since it is smaller than the sum of its proper divisors (3738954810).

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

2233013190 is a wasteful number, since it uses less digits than its factorization.

2233013190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 2233013190 is about 47254.7689656822. The cubic root of 2233013190 is about 1307.0647311117.

The spelling of 2233013190 in words is "two billion, two hundred thirty-three million, thirteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 71 95 114 115 138 142 190 213 230 285 345 355 426 437 570 690 710 874 1065 1311 1349 1633 2130 2185 2399 2622 2698 3266 4047 4370 4798 4899 6555 6745 7197 8094 8165 9798 11995 13110 13490 14394 16330 20235 23990 24495 31027 35985 40470 45581 48990 55177 62054 71970 91162 93081 110354 136743 155135 165531 170329 186162 227905 273486 275885 310270 331062 340658 455810 465405 510987 551770 683715 827655 851645 930810 1021974 1048363 1367430 1655310 1703290 2096726 2554935 3145089 3236251 3917567 5109870 5241815 6290178 6472502 7835134 9708753 10483630 11752701 15725445 16181255 19417506 19587835 23505402 31450890 32362510 39175670 48543765 58763505 74433773 97087530 117527010 148867546 223301319 372168865 446602638 744337730 1116506595 2233013190