Search a number
-
+
12212241640 = 23519105115289
BaseRepresentation
bin10110101111110100…
…00000010011101000
31011112002111011010221
423113322000103220
5200002313213030
65335450415424
7611426225014
oct132772002350
934462434127
1012212241640
1151a7545995
122449a31574
1311c8116ab1
1483bca9544
154b71e6e7a
hex2d7e804e8

12212241640 has 64 divisors (see below), whose sum is σ = 28953144000. Its totient is φ = 4623091200.

The previous prime is 12212241637. The next prime is 12212241647. The reversal of 12212241640 is 4614221221.

It is not an unprimeable number, because it can be changed into a prime (12212241647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 791116 + ... + 806404.

It is an arithmetic number, because the mean of its divisors is an integer number (452392875).

Almost surely, 212212241640 is an apocalyptic number.

12212241640 is a gapful number since it is divisible by the number (10) 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 12212241640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476572000).

12212241640 is an abundant number, since it is smaller than the sum of its proper divisors (16740902360).

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

12212241640 is a wasteful number, since it uses less digits than its factorization.

12212241640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16370 (or 16366 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 12212241640 its reverse (4614221221), we get a palindrome (16826462861).

The spelling of 12212241640 in words is "twelve billion, two hundred twelve million, two hundred forty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1051 2102 4204 5255 8408 10510 15289 19969 21020 30578 39938 42040 61156 76445 79876 99845 122312 152890 159752 199690 290491 305780 399380 580982 611560 798760 1161964 1452455 2323928 2904910 5809820 11619640 16068739 32137478 64274956 80343695 128549912 160687390 305306041 321374780 610612082 642749560 1221224164 1526530205 2442448328 3053060410 6106120820 12212241640