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4442235000 = 23354742307
BaseRepresentation
bin1000010001100011…
…10010000001111000
3102110120211220211020
410020301302001320
533044203010000
62012444302440
7215040242310
oct41061620170
912416756736
104442235000
11197a5869a5
12a3b841a20
1355a42cc28
14301d90440
151aeeccba0
hex108c72078

4442235000 has 160 divisors (see below), whose sum is σ = 15860423040. Its totient is φ = 1015344000.

The previous prime is 4442234987. The next prime is 4442235023. The reversal of 4442235000 is 5322444.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 83847 + ... + 126153.

It is an arithmetic number, because the mean of its divisors is an integer number (99127644).

Almost surely, 24442235000 is an apocalyptic number.

4442235000 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 4442235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7930211520).

4442235000 is an abundant number, since it is smaller than the sum of its proper divisors (11418188040).

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

4442235000 is a wasteful number, since it uses less digits than its factorization.

4442235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42343 (or 42324 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4442235000 is about 66650.0937733774. The cubic root of 4442235000 is about 1643.8688897993.

Adding to 4442235000 its reverse (5322444), we get a palindrome (4447557444).

The spelling of 4442235000 in words is "four billion, four hundred forty-two million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 625 700 750 840 875 1000 1050 1250 1400 1500 1750 1875 2100 2500 2625 3000 3500 3750 4200 4375 5000 5250 7000 7500 8750 10500 13125 15000 17500 21000 26250 35000 42307 52500 84614 105000 126921 169228 211535 253842 296149 338456 423070 507684 592298 634605 846140 888447 1015368 1057675 1184596 1269210 1480745 1692280 1776894 2115350 2369192 2538420 2961490 3173025 3553788 4230700 4442235 5076840 5288375 5922980 6346050 7107576 7403725 8461400 8884470 10576750 11845960 12692100 14807450 15865125 17768940 21153500 22211175 25384200 26441875 29614900 31730250 35537880 37018625 42307000 44422350 52883750 59229800 63460500 74037250 79325625 88844700 105767500 111055875 126921000 148074500 158651250 177689400 185093125 211535000 222111750 296149000 317302500 370186250 444223500 555279375 634605000 740372500 888447000 1110558750 1480745000 2221117500 4442235000