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4422004320 = 253546719727
BaseRepresentation
bin1000001111001001…
…00110111001100000
3102102011210002112210
410013210212321200
533024013114240
62010442522120
7214403262606
oct40744467140
912364702483
104422004320
11196a119328
12a34b06340
13556198806
142dd405876
151ad333780
hex107926e60

4422004320 has 96 divisors (see below), whose sum is σ = 13959848448. Its totient is φ = 1176616448.

The previous prime is 4422004319. The next prime is 4422004333. The reversal of 4422004320 is 234002244.

It is a tau number, because it is divible by the number of its divisors (96).

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, 214297 + ... + 234023.

It is an arithmetic number, because the mean of its divisors is an integer number (145415088).

Almost surely, 24422004320 is an apocalyptic number.

4422004320 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 4422004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979924224).

4422004320 is an abundant number, since it is smaller than the sum of its proper divisors (9537844128).

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

4422004320 is a wasteful number, since it uses less digits than its factorization.

4422004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212 (or 20204 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 4422004320 is about 66498.1527562984. The cubic root of 4422004320 is about 1641.3696074230.

Adding to 4422004320 its reverse (234002244), we get a palindrome (4656006564).

The spelling of 4422004320 in words is "four billion, four hundred twenty-two million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 467 480 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 14944 18680 19727 22416 28020 37360 39454 44832 56040 59181 74720 78908 98635 112080 118362 157816 197270 224160 236724 295905 315632 394540 473448 591810 631264 789080 946896 1183620 1578160 1893792 2367240 3156320 4734480 9212509 9468960 18425018 27637527 36850036 46062545 55275054 73700072 92125090 110550108 138187635 147400144 184250180 221100216 276375270 294800288 368500360 442200432 552750540 737000720 884400864 1105501080 1474001440 2211002160 4422004320