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2230324104040 = 2351931131722639
BaseRepresentation
bin100000011101001001101…
…011010000101101101000
321220012212010021121222221
4200131021223100231220
5243020200432312130
64424332521523424
7320064340041454
oct40351153205550
97805763247887
102230324104040
1178a9698a319a
12300303043574
1313241b135876
1479d3c065664
153d03874b87a
hex20749ad0b68

2230324104040 has 128 divisors (see below), whose sum is σ = 5494376448000. Its totient is φ = 811667001600.

The previous prime is 2230324104013. The next prime is 2230324104049. The reversal of 2230324104040 is 404014230322.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2230324103996 and 2230324104014.

It is not an unprimeable number, because it can be changed into a prime (2230324104049) 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, 2725041 + ... + 3447679.

It is an arithmetic number, because the mean of its divisors is an integer number (42924816000).

Almost surely, 22230324104040 is an apocalyptic number.

2230324104040 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 2230324104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747188224000).

2230324104040 is an abundant number, since it is smaller than the sum of its proper divisors (3264052343960).

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

2230324104040 is a wasteful number, since it uses less digits than its factorization.

2230324104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722831 (or 722827 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 2230324104040 its reverse (404014230322), we get a palindrome (2634338334362).

The spelling of 2230324104040 in words is "two trillion, two hundred thirty billion, three hundred twenty-four million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 131 152 155 190 248 262 310 380 524 589 620 655 760 1048 1178 1240 1310 2356 2489 2620 2945 4061 4712 4978 5240 5890 8122 9956 11780 12445 16244 19912 20305 23560 24890 32488 40610 49780 77159 81220 99560 154318 162440 308636 385795 617272 722639 771590 1445278 1543180 2890556 3086360 3613195 5781112 7226390 13730141 14452780 22401809 27460282 28905560 44803618 54920564 68650705 89607236 94665709 109841128 112009045 137301410 179214472 189331418 224018090 274602820 378662836 425634371 448036180 473328545 549205640 757325672 851268742 896072360 946657090 1702537484 1798648471 1893314180 2128171855 2934636979 3405074968 3597296942 3786628360 4256343710 5869273958 7194593884 8512687420 8993242355 11738547916 14389187768 14673184895 17025374840 17986484710 23477095832 29346369790 35972969420 55758102601 58692739580 71945938840 111516205202 117385479160 223032410404 278790513005 446064820808 557581026010 1115162052020 2230324104040