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23414201000 = 235323414201
BaseRepresentation
bin10101110011100110…
…000101101010101000
32020102202221122112122
4111303212011222220
5340423013413000
614431211330412
71456140265451
oct256346055250
966382848478
1023414201000
119a25784843
124655450a08
132291b33508
1411c190c128
1592087b085
hex573985aa8

23414201000 has 32 divisors (see below), whose sum is σ = 54789232680. Its totient is φ = 9365680000.

The previous prime is 23414200969. The next prime is 23414201003. The reversal of 23414201000 is 10241432.

It can be written as a sum of positive squares in 4 ways, for example, as 2120970916 + 21293230084 = 46054^2 + 145922^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23414201000.

It is not an unprimeable number, because it can be changed into a prime (23414201003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11706101 + ... + 11708100.

Almost surely, 223414201000 is an apocalyptic number.

23414201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23414201000 is an abundant number, since it is smaller than the sum of its proper divisors (31375031680).

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

23414201000 is a wasteful number, since it uses less digits than its factorization.

23414201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414222 (or 23414208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23414201000 its reverse (10241432), we get a palindrome (23424442432).

The spelling of 23414201000 in words is "twenty-three billion, four hundred fourteen million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 23414201 46828402 93656804 117071005 187313608 234142010 468284020 585355025 936568040 1170710050 2341420100 2926775125 4682840200 5853550250 11707100500 23414201000