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23200440424 = 23743147829
BaseRepresentation
bin10101100110110110…
…101010000001101000
32012212212201111011021
4111212312222001220
5340003303043144
614354053542224
71450633330000
oct254666520150
965785644137
1023200440424
119926053307
1245b5944974
13225976ba75
1411a1387000
1590bc04884
hex566daa068

23200440424 has 160 divisors (see below), whose sum is σ = 53564083200. Its totient is φ = 9406212480.

The previous prime is 23200440407. The next prime is 23200440433. The reversal of 23200440424 is 42404400232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27985642 + ... + 27986470.

It is an arithmetic number, because the mean of its divisors is an integer number (334775520).

Almost surely, 223200440424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23200440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26782041600).

23200440424 is an abundant number, since it is smaller than the sum of its proper divisors (30363642776).

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

23200440424 is an equidigital number, since it uses as much as digits as its factorization.

23200440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 23200440424 its reverse (42404400232), we get a palindrome (65604840656).

The spelling of 23200440424 in words is "twenty-three billion, two hundred million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 31 47 49 56 62 94 98 124 188 196 217 248 329 343 376 392 434 658 686 829 868 1316 1372 1457 1519 1658 1736 2303 2401 2632 2744 2914 3038 3316 4606 4802 5803 5828 6076 6632 9212 9604 10199 10633 11606 11656 12152 16121 18424 19208 20398 21266 23212 25699 32242 38963 40621 40796 42532 46424 51398 64484 71393 74431 77926 81242 81592 85064 102796 112847 128968 142786 148862 155852 162484 179893 205592 225694 272741 284347 285572 297724 311704 324968 359786 451388 499751 545482 568694 571144 595448 719572 902776 999502 1090964 1137388 1207853 1259251 1439144 1909187 1990429 1999004 2181928 2274776 2415706 2518502 3498257 3818374 3980858 3998008 4831412 5037004 6996514 7636748 7961716 8454971 8814757 9662824 10074008 13364309 13993028 15273496 15923432 16909942 17629514 26728618 27986056 33819884 35259028 53457236 59184797 61703299 67639768 70518056 93550163 106914472 118369594 123406598 187100326 236739188 246813196 374200652 414293579 473478376 493626392 748401304 828587158 1657174316 2900055053 3314348632 5800110106 11600220212 23200440424