Search a number
-
+
2202240622240 = 25582916603141
BaseRepresentation
bin100000000010111111110…
…001010001111010100000
321210112100221020221100101
4200002333301101322200
5242040142044402430
64403410111232144
7315051401300311
oct40027761217240
97715327227311
102202240622240
11779a684676aa
122b6985b18654
1312c893b38a09
1478836384608
153c442ee4dca
hex200bfc51ea0

2202240622240 has 48 divisors (see below), whose sum is σ = 5209069771080. Its totient is φ = 879833594880.

The previous prime is 2202240622237. The next prime is 2202240622247. The reversal of 2202240622240 is 422260422022.

It can be written as a sum of positive squares in 4 ways, for example, as 1078615182096 + 1123625440144 = 1038564^2 + 1060012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2202240622199 and 2202240622208.

It is not an unprimeable number, because it can be changed into a prime (2202240622247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8168931 + ... + 8434210.

Almost surely, 22202240622240 is an apocalyptic number.

2202240622240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2202240622240 is an abundant number, since it is smaller than the sum of its proper divisors (3006829148840).

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

2202240622240 is a wasteful number, since it uses less digits than its factorization.

2202240622240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16603985 (or 16603977 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The spelling of 2202240622240 in words is "two trillion, two hundred two billion, two hundred forty million, six hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 829 1658 3316 4145 6632 8290 13264 16580 26528 33160 66320 132640 16603141 33206282 66412564 83015705 132825128 166031410 265650256 332062820 531300512 664125640 1328251280 2656502560 13764003889 27528007778 55056015556 68820019445 110112031112 137640038890 220224062224 275280077780 440448124448 550560155560 1101120311120 2202240622240