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2430230000 = 24541122093
BaseRepresentation
bin1001000011011010…
…0101110111110000
320021100220110211112
42100312211313300
514434114330000
61041052132452
7114136420442
oct22066456760
96240813745
102430230000
11103788a850
12579a67128
132c9641523
14190a8c492
15e3548235
hex90da5df0

2430230000 has 100 divisors (see below), whose sum is σ = 6419014008. Its totient is φ = 883680000.

The previous prime is 2430229999. The next prime is 2430230003. The reversal of 2430230000 is 320342.

2430230000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98954 + ... + 121046.

Almost surely, 22430230000 is an apocalyptic number.

2430230000 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 2430230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3209507004).

2430230000 is an abundant number, since it is smaller than the sum of its proper divisors (3988784008).

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

2430230000 is a wasteful number, since it uses less digits than its factorization.

2430230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22132 (or 22111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2430230000 is about 49297.3630126399. The cubic root of 2430230000 is about 1344.4638392171.

Adding to 2430230000 its reverse (320342), we get a palindrome (2430550342).

The spelling of 2430230000 in words is "two billion, four hundred thirty million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 22093 27500 44186 55000 88372 110000 110465 176744 220930 243023 353488 441860 486046 552325 883720 972092 1104650 1215115 1767440 1944184 2209300 2430230 2761625 3888368 4418600 4860460 5523250 6075575 8837200 9720920 11046500 12151150 13808125 19441840 22093000 24302300 27616250 30377875 44186000 48604600 55232500 60755750 97209200 110465000 121511500 151889375 220930000 243023000 303778750 486046000 607557500 1215115000 2430230000