Search a number
-
+
2212354704 = 243721755331
BaseRepresentation
bin1000001111011101…
…1101101010010000
312201011221021010010
42003313131222100
514012330322304
61003310234520
7105552463500
oct20367355220
95634837103
102212354704
11a358a891a
12518ab5a40
13293468c31
1416db75a00
15ce35c789
hex83ddda90

2212354704 has 120 divisors (see below), whose sum is σ = 7039558368. Its totient is φ = 594908160.

The previous prime is 2212354691. The next prime is 2212354733. The reversal of 2212354704 is 4074532122.

2212354704 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12319 + ... + 67649.

Almost surely, 22212354704 is an apocalyptic number.

2212354704 is a gapful number since it is divisible by the number (24) 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 2212354704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519779184).

2212354704 is an abundant number, since it is smaller than the sum of its proper divisors (4827203664).

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

2212354704 is a wasteful number, since it uses less digits than its factorization.

2212354704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55373 (or 55360 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2212354704 is about 47035.6748011549. The cubic root of 2212354704 is about 1303.0215130581.

Adding to 2212354704 its reverse (4074532122), we get a palindrome (6286886826).

The spelling of 2212354704 in words is "two billion, two hundred twelve million, three hundred fifty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1428 1666 1904 2352 2499 2856 3332 4998 5712 6664 9996 13328 19992 39984 55331 110662 165993 221324 331986 387317 442648 663972 774634 885296 940627 1161951 1327944 1549268 1881254 2323902 2655888 2711219 2821881 3098536 3762508 4647804 5422438 5643762 6197072 6584389 7525016 8133657 9295608 10844876 11287524 13168778 15050032 16267314 18591216 19753167 21689752 22575048 26337556 32534628 39506334 43379504 45150096 46090723 52675112 65069256 79012668 92181446 105350224 130138512 138272169 158025336 184362892 276544338 316050672 368725784 553088676 737451568 1106177352 2212354704