Search a number
-
+
2250189720 = 2336577167
BaseRepresentation
bin1000011000011111…
…0010101110011000
312210211010111000000
42012013302232120
514102022032340
61011141213000
7106522203612
oct20607625630
95724114000
102250189720
11a5519a929
12529701160
1329b25520c
14174bc3db2
15d2832d30
hex861f2b98

2250189720 has 112 divisors (see below), whose sum is σ = 7591016160. Its totient is φ = 600042816.

The previous prime is 2250189713. The next prime is 2250189737. The reversal of 2250189720 is 279810522.

2250189720 is a `hidden beast` number, since 2 + 2 + 501 + 89 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 9424 + ... + 67743.

It is an arithmetic number, because the mean of its divisors is an integer number (67776930).

Almost surely, 22250189720 is an apocalyptic number.

2250189720 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 2250189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795508080).

2250189720 is an abundant number, since it is smaller than the sum of its proper divisors (5340826440).

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

2250189720 is an equidigital number, since it uses as much as digits as its factorization.

2250189720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77196 (or 77177 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2250189720 is about 47436.1646847635. The cubic root of 2250189720 is about 1310.4075262217.

The spelling of 2250189720 in words is "two billion, two hundred fifty million, one hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 77167 154334 231501 308668 385835 463002 617336 694503 771670 926004 1157505 1389006 1543340 1852008 2083509 2315010 2778012 3086680 3472515 4167018 4630020 5556024 6250527 6945030 8334036 9260040 10417545 12501054 13890060 16668072 18751581 20835090 25002108 27780120 31252635 37503162 41670180 50004216 56254743 62505270 75006324 83340360 93757905 112509486 125010540 150012648 187515810 225018972 250021080 281273715 375031620 450037944 562547430 750063240 1125094860 2250189720