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2234240320 = 26513599103
BaseRepresentation
bin1000010100101011…
…1100110101000000
312202201010011112111
42011022330311000
514033431142240
61005411305104
7106236505114
oct20512746500
95681104474
102234240320
11a47196904
125242ab194
13297b5c6c0
14172a31744
15d12321ea
hex852bcd40

2234240320 has 112 divisors (see below), whose sum is σ = 5827288320. Its totient is φ = 810878976.

The previous prime is 2234240303. The next prime is 2234240377. The reversal of 2234240320 is 230424322.

It is a junction number, because it is equal to n+sod(n) for n = 2234240291 and 2234240300.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 240889 + ... + 249991.

It is an arithmetic number, because the mean of its divisors is an integer number (52029360).

Almost surely, 22234240320 is an apocalyptic number.

2234240320 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 2234240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913644160).

2234240320 is an abundant number, since it is smaller than the sum of its proper divisors (3593048000).

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

2234240320 is a wasteful number, since it uses less digits than its factorization.

2234240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2234240320 is about 47267.7513744836. The cubic root of 2234240320 is about 1307.3041153707.

Adding to 2234240320 its reverse (230424322), we get a palindrome (2464664642).

The spelling of 2234240320 in words is "two billion, two hundred thirty-four million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 64 65 80 104 118 130 160 208 236 260 295 320 416 472 520 590 767 832 944 1040 1180 1534 1888 2080 2360 3068 3776 3835 4160 4720 6136 7670 9103 9440 12272 15340 18206 18880 24544 30680 36412 45515 49088 61360 72824 91030 118339 122720 145648 182060 236678 245440 291296 364120 473356 537077 582592 591695 728240 946712 1074154 1183390 1456480 1893424 2148308 2366780 2685385 2912960 3786848 4296616 4733560 5370770 6982001 7573696 8593232 9467120 10741540 13964002 17186464 18934240 21483080 27928004 34372928 34910005 37868480 42966160 55856008 69820010 85932320 111712016 139640020 171864640 223424032 279280040 446848064 558560080 1117120160 2234240320