Search a number
-
+
20252315000 = 235426315401
BaseRepresentation
bin10010110111001000…
…011100110101111000
31221021102022012100202
4102313020130311320
5312434043040000
613145341221332
71314604560101
oct226710346570
957242265322
1020252315000
1186529a4015
123b12561848
131ba9a4ac58
14da1a053a8
157d7eaadd5
hex4b721cd78

20252315000 has 80 divisors (see below), whose sum is σ = 47634689520. Its totient is φ = 8069600000.

The previous prime is 20252314987. The next prime is 20252315011. The reversal of 20252315000 is 51325202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1307300 + ... + 1322700.

It is an arithmetic number, because the mean of its divisors is an integer number (595433619).

Almost surely, 220252315000 is an apocalyptic number.

20252315000 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 20252315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23817344760).

20252315000 is an abundant number, since it is smaller than the sum of its proper divisors (27382374520).

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

20252315000 is a wasteful number, since it uses less digits than its factorization.

20252315000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15690 (or 15671 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 20252315000 in words is "twenty billion, two hundred fifty-two million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 263 500 526 625 1000 1052 1250 1315 2104 2500 2630 5000 5260 6575 10520 13150 15401 26300 30802 32875 52600 61604 65750 77005 123208 131500 154010 164375 263000 308020 328750 385025 616040 657500 770050 1315000 1540100 1925125 3080200 3850250 4050463 7700500 8100926 9625625 15401000 16201852 19251250 20252315 32403704 38502500 40504630 77005000 81009260 101261575 162018520 202523150 405046300 506307875 810092600 1012615750 2025231500 2531539375 4050463000 5063078750 10126157500 20252315000