Search a number
-
+
22514451440 = 2451388324517
BaseRepresentation
bin10100111101111101…
…110100001111110000
32011010001220122011212
4110331331310033300
5332102144421230
614202030455252
71424633452055
oct247575641760
964101818155
1022514451440
119603903668
124444064528
13217a5c6b20
14113821902c
158bb89d895
hex53df743f0

22514451440 has 80 divisors (see below), whose sum is σ = 56438866848. Its totient is φ = 8303275008.

The previous prime is 22514451431. The next prime is 22514451473. The reversal of 22514451440 is 4415441522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22514451397 and 22514451406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 906062 + ... + 930578.

Almost surely, 222514451440 is an apocalyptic number.

22514451440 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 22514451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28219433424).

22514451440 is an abundant number, since it is smaller than the sum of its proper divisors (33924415408).

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

22514451440 is a wasteful number, since it uses less digits than its factorization.

22514451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25426 (or 25420 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 22514451440 its reverse (4415441522), we get a palindrome (26929892962).

The spelling of 22514451440 in words is "twenty-two billion, five hundred fourteen million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 883 1040 1766 3532 4415 7064 8830 11479 14128 17660 22958 24517 35320 45916 49034 57395 70640 91832 98068 114790 122585 183664 196136 229580 245170 318721 392272 459160 490340 637442 918320 980680 1274884 1593605 1961360 2549768 3187210 5099536 6374420 12748840 21648511 25497680 43297022 86594044 108242555 173188088 216485110 281430643 346376176 432970220 562861286 865940440 1125722572 1407153215 1731880880 2251445144 2814306430 4502890288 5628612860 11257225720 22514451440