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23232201000 = 2335336721101
BaseRepresentation
bin10101101000101111…
…110100000100101000
32012222002111002110220
4111220233310010220
5340034420413000
614401150410040
71451500310301
oct255057640450
965862432426
1023232201000
119941a76518
124604500920
13226320c1c8
1411a56937a8
1590e8ca1a0
hex568bf4128

23232201000 has 128 divisors (see below), whose sum is σ = 72685416960. Its totient is φ = 6178080000.

The previous prime is 23232200993. The next prime is 23232201001. The reversal of 23232201000 is 10223232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (23232201001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1090450 + ... + 1111550.

It is an arithmetic number, because the mean of its divisors is an integer number (567854820).

Almost surely, 223232201000 is an apocalyptic number.

23232201000 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 23232201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342708480).

23232201000 is an abundant number, since it is smaller than the sum of its proper divisors (49453215960).

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

23232201000 is a wasteful number, since it uses less digits than its factorization.

23232201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21492 (or 21478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23232201000 its reverse (10223232), we get a palindrome (23242424232).

The spelling of 23232201000 in words is "twenty-three billion, two hundred thirty-two million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 367 375 500 600 734 750 1000 1101 1468 1500 1835 2202 2936 3000 3670 4404 5505 7340 8808 9175 11010 14680 18350 21101 22020 27525 36700 42202 44040 45875 55050 63303 73400 84404 91750 105505 110100 126606 137625 168808 183500 211010 220200 253212 275250 316515 367000 422020 506424 527525 550500 633030 844040 1055050 1101000 1266060 1582575 2110100 2532120 2637625 3165150 4220200 5275250 6330300 7744067 7912875 10550500 12660600 15488134 15825750 21101000 23232201 30976268 31651500 38720335 46464402 61952536 63303000 77440670 92928804 116161005 154881340 185857608 193601675 232322010 309762680 387203350 464644020 580805025 774406700 929288040 968008375 1161610050 1548813400 1936016750 2323220100 2904025125 3872033500 4646440200 5808050250 7744067000 11616100500 23232201000