Search a number
-
+
12210425440 = 2551716726881
BaseRepresentation
bin10110101111100110…
…00100111001100000
31011111222001212210021
423113303010321200
5200001332103230
65335343443224
7611404621663
oct132763047140
934458055707
1012210425440
1151a65153a4
1224492b6514
1311c792c215
1483b9556da
154b6e88c7a
hex2d7cc4e60

12210425440 has 96 divisors (see below), whose sum is σ = 30728061504. Its totient is φ = 4569169920.

The previous prime is 12210425419. The next prime is 12210425467. The reversal of 12210425440 is 4452401221.

12210425440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440800 + ... + 467680.

It is an arithmetic number, because the mean of its divisors is an integer number (320083974).

Almost surely, 212210425440 is an apocalyptic number.

12210425440 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 12210425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15364030752).

12210425440 is an abundant number, since it is smaller than the sum of its proper divisors (18517636064).

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

12210425440 is a wasteful number, since it uses less digits than its factorization.

12210425440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27080 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 12210425440 its reverse (4452401221), we get a palindrome (16662826661).

The spelling of 12210425440 in words is "twelve billion, two hundred ten million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 167 170 272 334 340 544 668 680 835 1336 1360 1670 2672 2720 2839 3340 5344 5678 6680 11356 13360 14195 22712 26720 26881 28390 45424 53762 56780 90848 107524 113560 134405 215048 227120 268810 430096 454240 456977 537620 860192 913954 1075240 1827908 2150480 2284885 3655816 4300960 4489127 4569770 7311632 8978254 9139540 14623264 17956508 18279080 22445635 35913016 36558160 44891270 71826032 73116320 76315159 89782540 143652064 152630318 179565080 305260636 359130160 381575795 610521272 718260320 763151590 1221042544 1526303180 2442085088 3052606360 6105212720 12210425440