Search a number
-
+
2150045224000 = 2653431623563
BaseRepresentation
bin11111010010011000101…
…011101000110001000000
321121112122100101222111121
4133102120223220301000
5240211243034132000
64323414522522024
7311223060602512
oct37223053506100
97545570358447
102150045224000
11759913528443
122a8839966314
131279962b909b
14760c4253bb2
153addaa41b1a
hex1f498ae8c40

2150045224000 has 112 divisors (see below), whose sum is σ = 5336949586176. Its totient is φ = 858021312000.

The previous prime is 2150045223929. The next prime is 2150045224009. The reversal of 2150045224000 is 4225400512.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2150045224009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3136219 + ... + 3759781.

Almost surely, 22150045224000 is an apocalyptic number.

2150045224000 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 2150045224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668474793088).

2150045224000 is an abundant number, since it is smaller than the sum of its proper divisors (3186904362176).

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

2150045224000 is an equidigital number, since it uses as much as digits as its factorization.

2150045224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624021 (or 624001 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 2150045224000 in words is "two trillion, one hundred fifty billion, forty-five million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 431 500 800 862 1000 1600 1724 2000 2155 3448 4000 4310 6896 8000 8620 10775 13792 17240 21550 27584 34480 43100 53875 68960 86200 107750 137920 172400 215500 344800 431000 623563 689600 862000 1247126 1724000 2494252 3117815 3448000 4988504 6235630 9977008 12471260 15589075 19954016 24942520 31178150 39908032 49885040 62356300 77945375 99770080 124712600 155890750 199540160 249425200 268755653 311781500 498850400 537511306 623563000 997700800 1075022612 1247126000 1343778265 2150045224 2494252000 2687556530 4300090448 4988504000 5375113060 6718891325 8600180896 10750226120 13437782650 17200361792 21500452240 26875565300 33594456625 43000904480 53751130600 67188913250 86001808960 107502261200 134377826500 215004522400 268755653000 430009044800 537511306000 1075022612000 2150045224000