Search a number
-
+
2245022360 = 2357371391559
BaseRepresentation
bin1000010111010000…
…0101001010011000
312210110101221201022
42011310011022120
514044211203420
61010434342012
7106430242460
oct20564051230
95713357638
102245022360
11a52290589
12527a2a908
1329a1661c9
1417423aba0
15d2161c25
hex85d05298

2245022360 has 128 divisors (see below), whose sum is σ = 5975424000. Its totient is φ = 743053824.

The previous prime is 2245022359. The next prime is 2245022369. The reversal of 2245022360 is 632205422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245022369) 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, 1439261 + ... + 1440819.

It is an arithmetic number, because the mean of its divisors is an integer number (46683000).

Almost surely, 22245022360 is an apocalyptic number.

2245022360 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 2245022360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712000).

2245022360 is an abundant number, since it is smaller than the sum of its proper divisors (3730401640).

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

2245022360 is a wasteful number, since it uses less digits than its factorization.

2245022360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2245022360 is about 47381.6669187567. Note that the first 3 decimals coincide. The cubic root of 2245022360 is about 1309.4036794109.

Adding to 2245022360 its reverse (632205422), we get a palindrome (2877227782).

The spelling of 2245022360 in words is "two billion, two hundred forty-five million, twenty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 139 140 148 185 259 278 280 296 370 518 556 695 740 973 1036 1112 1295 1390 1480 1559 1946 2072 2590 2780 3118 3892 4865 5143 5180 5560 6236 7784 7795 9730 10286 10360 10913 12472 15590 19460 20572 21826 25715 31180 36001 38920 41144 43652 51430 54565 57683 62360 72002 87304 102860 109130 115366 144004 180005 205720 216701 218260 230732 288008 288415 360010 403781 433402 436520 461464 576830 720020 807562 866804 1083505 1153660 1440040 1516907 1615124 1733608 2018905 2167010 2307320 3033814 3230248 4037810 4334020 6067628 7584535 8017937 8075620 8668040 12135256 15169070 16035874 16151240 30338140 32071748 40089685 56125559 60676280 64143496 80179370 112251118 160358740 224502236 280627795 320717480 449004472 561255590 1122511180 2245022360