Search a number
-
+
23410250000 = 2456293229
BaseRepresentation
bin10101110011010111…
…000001000100010000
32020102111111220210022
4111303113001010100
5340421011000000
614430550523012
71456061561504
oct256327010420
966374456708
1023410250000
119a23526355
124654066468
13229107c047
1411c11a0304
1592034a585
hex5735c1110

23410250000 has 140 divisors (see below), whose sum is σ = 58669170900. Its totient is φ = 9038400000.

The previous prime is 23410249957. The next prime is 23410250023. The reversal of 23410250000 is 5201432.

It can be written as a sum of positive squares in 14 ways, for example, as 17712415744 + 5697834256 = 133088^2 + 75484^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7248386 + ... + 7251614.

Almost surely, 223410250000 is an apocalyptic number.

23410250000 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 23410250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29334585450).

23410250000 is an abundant number, since it is smaller than the sum of its proper divisors (35258920900).

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

23410250000 is an frugal number, since it uses more digits than its factorization.

23410250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3296 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 23410250000 its reverse (5201432), we get a palindrome (23415451432).

The spelling of 23410250000 in words is "twenty-three billion, four hundred ten million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 625 725 1000 1160 1250 1450 2000 2320 2500 2900 3125 3229 3625 5000 5800 6250 6458 7250 10000 11600 12500 12916 14500 15625 16145 18125 25000 25832 29000 31250 32290 36250 50000 51664 58000 62500 64580 72500 80725 90625 93641 125000 129160 145000 161450 181250 187282 250000 258320 290000 322900 362500 374564 403625 453125 468205 645800 725000 749128 807250 906250 936410 1291600 1450000 1498256 1614500 1812500 1872820 2018125 2341025 3229000 3625000 3745640 4036250 4682050 6458000 7250000 7491280 8072500 9364100 10090625 11705125 16145000 18728200 20181250 23410250 32290000 37456400 40362500 46820500 50453125 58525625 80725000 93641000 100906250 117051250 161450000 187282000 201812500 234102500 292628125 403625000 468205000 585256250 807250000 936410000 1170512500 1463140625 2341025000 2926281250 4682050000 5852562500 11705125000 23410250000