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422100014320 = 245127163254879
BaseRepresentation
bin1100010010001110001…
…11110001010011110000
31111100111212122102022201
412021013013301103300
523403430100424240
6521524324112544
742332013631435
oct6110707612360
91440455572281
10422100014320
111530144aa246
1269980535754
1330a5b10a4aa
1416603339b8c
15aea6bd0d9a
hex62471f14f0

422100014320 has 80 divisors (see below), whose sum is σ = 995182018560. Its totient is φ = 166482231552.

The previous prime is 422100014317. The next prime is 422100014339. The reversal of 422100014320 is 23410001224.

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

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, 1528641 + ... + 1783519.

It is an arithmetic number, because the mean of its divisors is an integer number (12439775232).

Almost surely, 2422100014320 is an apocalyptic number.

422100014320 is a gapful number since it is divisible by the number (40) 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 422100014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497591009280).

422100014320 is an abundant number, since it is smaller than the sum of its proper divisors (573082004240).

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

422100014320 is a wasteful number, since it uses less digits than its factorization.

422100014320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255182 (or 255176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 422100014320 its reverse (23410001224), we get a palindrome (445510015544).

The spelling of 422100014320 in words is "four hundred twenty-two billion, one hundred million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 163 254 326 508 635 652 815 1016 1270 1304 1630 2032 2540 2608 3260 5080 6520 10160 13040 20701 41402 82804 103505 165608 207010 254879 331216 414020 509758 828040 1019516 1274395 1656080 2039032 2548790 4078064 5097580 10195160 20390320 32369633 41545277 64739266 83090554 129478532 161848165 166181108 207726385 258957064 323696330 332362216 415452770 517914128 647392660 664724432 830905540 1294785320 1661811080 2589570640 3323622160 5276250179 10552500358 21105000716 26381250895 42210001432 52762501790 84420002864 105525003580 211050007160 422100014320