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2432201000 = 23532983869
BaseRepresentation
bin1001000011111000…
…0111000100101000
320021111121121112112
42100332013010220
514440120413000
61041202301452
7114162240005
oct22076070450
96244547475
102432201000
111038a06679
1257a657888
132c9b816b8
141910428ac
15e37d7235
hex90f87128

2432201000 has 64 divisors (see below), whose sum is σ = 5887674000. Its totient is φ = 939321600.

The previous prime is 2432200997. The next prime is 2432201027. The reversal of 2432201000 is 1022342.

It can be written as a sum of positive squares in 8 ways, for example, as 1119364 + 2431081636 = 1058^2 + 49306^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12935 + ... + 70934.

Almost surely, 22432201000 is an apocalyptic number.

2432201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2432201000 is an abundant number, since it is smaller than the sum of its proper divisors (3455473000).

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

2432201000 is a wasteful number, since it uses less digits than its factorization.

2432201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83919 (or 83905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2432201000 is about 49317.3498882493. The cubic root of 2432201000 is about 1344.8272097832.

Adding to 2432201000 its reverse (1022342), we get a palindrome (2433223342).

The spelling of 2432201000 in words is "two billion, four hundred thirty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 29000 83869 167738 335476 419345 670952 838690 1677380 2096725 2432201 3354760 4193450 4864402 8386900 9728804 10483625 12161005 16773800 19457608 20967250 24322010 41934500 48644020 60805025 83869000 97288040 121610050 243220100 304025125 486440200 608050250 1216100500 2432201000