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2234131410 = 235737417013
BaseRepresentation
bin1000010100101010…
…0010001111010010
312202200220122010210
42011022202033102
514033414201120
61005405104550
7106235542440
oct20512421722
95680818123
102234131410
11a47121aa5
12524258156
13297b21c64
14172a03b90
15d120ece0
hex852a23d2

2234131410 has 128 divisors (see below), whose sum is σ = 6447942144. Its totient is φ = 484669440.

The previous prime is 2234131387. The next prime is 2234131439. The reversal of 2234131410 is 141314322.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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, 315064 + ... + 322076.

It is an arithmetic number, because the mean of its divisors is an integer number (50374548).

Almost surely, 22234131410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2234131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223971072).

2234131410 is an abundant number, since it is smaller than the sum of its proper divisors (4213810734).

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

2234131410 is a wasteful number, since it uses less digits than its factorization.

2234131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2234131410 is about 47266.5993064870. The cubic root of 2234131410 is about 1307.2828731311.

Adding to 2234131410 its reverse (141314322), we get a palindrome (2375445732).

The spelling of 2234131410 in words is "two billion, two hundred thirty-four million, one hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 41 42 70 74 82 105 111 123 185 205 210 222 246 259 287 370 410 518 555 574 615 777 861 1110 1230 1295 1435 1517 1554 1722 2590 2870 3034 3885 4305 4551 7013 7585 7770 8610 9102 10619 14026 15170 21039 21238 22755 31857 35065 42078 45510 49091 53095 63714 70130 98182 105195 106190 147273 159285 210390 245455 259481 287533 294546 318570 490910 518962 575066 736365 778443 862599 1297405 1437665 1472730 1556886 1725198 1816367 2012731 2594810 2875330 3632734 3892215 4025462 4312995 5449101 6038193 7784430 8625990 9081835 10063655 10638721 10898202 12076386 18163670 20127310 21277442 27245505 30190965 31916163 53193605 54491010 60381930 63832326 74471047 106387210 148942094 159580815 223413141 319161630 372355235 446826282 744710470 1117065705 2234131410