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2230003410 = 2352313923251
BaseRepresentation
bin1000010011101011…
…0010011011010010
312202102010220120220
42010322302123102
514031340102120
61005140413510
7106155500445
oct20472623322
95672126526
102230003410
11a44862628
125229a7296
1329700805b
1417224b65c
15d0b96b40
hex84eb26d2

2230003410 has 64 divisors (see below), whose sum is σ = 5625123840. Its totient is φ = 564696000.

The previous prime is 2230003409. The next prime is 2230003427. The reversal of 2230003410 is 143000322.

It is a super-2 number, since 2×22300034102 = 9945830417223256200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2230003410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84285 + ... + 107535.

It is an arithmetic number, because the mean of its divisors is an integer number (87892560).

Almost surely, 22230003410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2230003410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812561920).

2230003410 is an abundant number, since it is smaller than the sum of its proper divisors (3395120430).

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

2230003410 is a wasteful number, since it uses less digits than its factorization.

2230003410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23423.

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2230003410 is about 47222.9119178392. The cubic root of 2230003410 is about 1306.4772221041.

Adding to 2230003410 its reverse (143000322), we get a palindrome (2373003732).

The spelling of 2230003410 in words is "two billion, two hundred thirty million, three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 139 230 278 345 417 690 695 834 1390 2085 3197 4170 6394 9591 15985 19182 23251 31970 46502 47955 69753 95910 116255 139506 232510 348765 534773 697530 1069546 1604319 2673865 3208638 3231889 5347730 6463778 8021595 9695667 16043190 16159445 19391334 32318890 48478335 74333447 96956670 148666894 223000341 371667235 446000682 743334470 1115001705 2230003410