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4222324112320 = 26597275349411
BaseRepresentation
bin111101011100010110001…
…000001111101111000000
3112221122120000201210102101
4331130112020033233000
51023134304433043240
612551413043200144
7614024061532516
oct75342610175700
915848500653371
104222324112320
11138874a981876
12582393976054
1324821815a812
1410850c2504b6
1574c7423139a
hex3d71620fbc0

4222324112320 has 112 divisors (see below), whose sum is σ = 10161958470048. Its totient is φ = 1670877020160.

The previous prime is 4222324112311. The next prime is 4222324112323. The reversal of 4222324112320 is 232114232224.

4222324112320 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 not an unprimeable number, because it can be changed into a prime (4222324112323) 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, 85428415 + ... + 85477825.

It is an arithmetic number, because the mean of its divisors is an integer number (90731772054).

Almost surely, 24222324112320 is an apocalyptic number.

4222324112320 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 4222324112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080979235024).

4222324112320 is an abundant number, since it is smaller than the sum of its proper divisors (5939634357728).

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

4222324112320 is a wasteful number, since it uses less digits than its factorization.

4222324112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52278 (or 52268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4222324112320 its reverse (232114232224), we get a palindrome (4454438344544).

The spelling of 4222324112320 in words is "four trillion, two hundred twenty-two billion, three hundred twenty-four million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1940 2753 3104 3880 5506 6208 7760 11012 13765 15520 22024 27530 31040 44048 49411 55060 88096 98822 110120 176192 197644 220240 247055 267041 395288 440480 494110 534082 790576 880960 988220 1068164 1335205 1581152 1976440 2136328 2670410 3162304 3952880 4272656 4792867 5340820 7905760 8545312 9585734 10681640 15811520 17090624 19171468 21363280 23964335 38342936 42726560 47928670 76685872 85453120 95857340 136028483 153371744 191714680 272056966 306743488 383429360 544113932 680142415 766858720 1088227864 1360284830 1533717440 2176455728 2720569660 4352911456 5441139320 8705822912 10882278640 13194762851 21764557280 26389525702 43529114560 52779051404 65973814255 105558102808 131947628510 211116205616 263895257020 422232411232 527790514040 844464822464 1055581028080 2111162056160 4222324112320