Search a number
-
+
2251515020 = 2251715742179
BaseRepresentation
bin1000011000110011…
…0110010010001100
312210220121210222012
42012030312102030
514102341440040
61011225440352
7106536363506
oct20614662214
95726553865
102251515020
11a55a15617
1252a0400b8
1329b5ca511
1417504ad76
15d29e5865
hex8633648c

2251515020 has 48 divisors (see below), whose sum is σ = 5038316640. Its totient is φ = 842210304.

The previous prime is 2251514987. The next prime is 2251515031. The reversal of 2251515020 is 205151522.

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, 32291 + ... + 74469.

It is an arithmetic number, because the mean of its divisors is an integer number (104964930).

Almost surely, 22251515020 is an apocalyptic number.

2251515020 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 2251515020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519158320).

2251515020 is an abundant number, since it is smaller than the sum of its proper divisors (2786801620).

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

2251515020 is a wasteful number, since it uses less digits than its factorization.

2251515020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42362 (or 42360 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 2251515020 is about 47450.1319281622. The cubic root of 2251515020 is about 1310.6647404228.

Adding to 2251515020 its reverse (205151522), we get a palindrome (2456666542).

The spelling of 2251515020 in words is "two billion, two hundred fifty-one million, five hundred fifteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 314 340 628 785 1570 2669 3140 5338 10676 13345 26690 42179 53380 84358 168716 210895 421790 717043 843580 1434086 2868172 3585215 6622103 7170430 13244206 14340860 26488412 33110515 66221030 112575751 132442060 225151502 450303004 562878755 1125757510 2251515020