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2428239000 = 233531173583
BaseRepresentation
bin1001000010111011…
…1111110010011000
320021020011022200210
42100232333302120
514433112122000
61040541331120
7114113455665
oct22056776230
96236138623
102428239000
11103674a9a0
12579266aa0
132c90c5215
141906d0a6c
15e32a3350
hex90bbfc98

2428239000 has 128 divisors (see below), whose sum is σ = 8264954880. Its totient is φ = 588656000.

The previous prime is 2428238993. The next prime is 2428239031. The reversal of 2428239000 is 9328242.

It is a super-2 number, since 2×24282390002 = 11792689282242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3792 + ... + 69791.

It is an arithmetic number, because the mean of its divisors is an integer number (64569960).

Almost surely, 22428239000 is an apocalyptic number.

2428239000 is a gapful number since it is divisible by the number (20) 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 2428239000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132477440).

2428239000 is an abundant number, since it is smaller than the sum of its proper divisors (5836715880).

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

2428239000 is a wasteful number, since it uses less digits than its factorization.

2428239000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73618 (or 73604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2428239000 is about 49277.1650970305. The cubic root of 2428239000 is about 1344.0965819553.

The spelling of 2428239000 in words is "two billion, four hundred twenty-eight million, two hundred thirty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 73583 147166 220749 294332 367915 441498 588664 735830 809413 882996 1103745 1471660 1618826 1765992 1839575 2207490 2428239 2943320 3237652 3679150 4047065 4414980 4856478 5518725 6475304 7358300 8094130 8829960 9197875 9712956 11037450 12141195 14716600 16188260 18395750 19425912 20235325 22074900 24282390 27593625 32376520 36791500 40470650 44149800 48564780 55187250 60705975 73583000 80941300 97129560 101176625 110374500 121411950 161882600 202353250 220749000 242823900 303529875 404706500 485647800 607059750 809413000 1214119500 2428239000