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2150440000 = 2654371453
BaseRepresentation
bin1000000000101101…
…0001110001000000
312112212102200002221
42000023101301000
513401003040000
6553215220424
7104201303242
oct20013216100
95485380087
102150440000
11a0395a445
12500217714
1328369b607
1416585a092
15c8bcc61a
hex802d1c40

2150440000 has 140 divisors (see below), whose sum is σ = 5480280124. Its totient is φ = 836352000.

The previous prime is 2150439979. The next prime is 2150440009. The reversal of 2150440000 is 440512.

It can be written as a sum of positive squares in 10 ways, for example, as 545315904 + 1605124096 = 23352^2 + 40064^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150440009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1479274 + ... + 1480726.

Almost surely, 22150440000 is an apocalyptic number.

2150440000 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 2150440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740140062).

2150440000 is an abundant number, since it is smaller than the sum of its proper divisors (3329840124).

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

2150440000 is an equidigital number, since it uses as much as digits as its factorization.

2150440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2150440000 is about 46372.8368767752. The cubic root of 2150440000 is about 1290.7509198883.

Adding to 2150440000 its reverse (440512), we get a palindrome (2150880512).

It can be divided in two parts, 21504 and 40000, that added together give a square (61504 = 2482).

The spelling of 2150440000 in words is "two billion, one hundred fifty million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 370 400 500 592 625 740 800 925 1000 1184 1250 1453 1480 1600 1850 2000 2368 2500 2906 2960 3700 4000 4625 5000 5812 5920 7265 7400 8000 9250 10000 11624 11840 14530 14800 18500 20000 23125 23248 29060 29600 36325 37000 40000 46250 46496 53761 58120 59200 72650 74000 92500 92992 107522 116240 145300 148000 181625 185000 215044 232480 268805 290600 296000 363250 370000 430088 464960 537610 581200 726500 740000 860176 908125 1075220 1162400 1344025 1453000 1480000 1720352 1816250 2150440 2324800 2688050 2906000 3440704 3632500 4300880 5376100 5812000 6720125 7265000 8601760 10752200 11624000 13440250 14530000 17203520 21504400 26880500 29060000 33600625 43008800 53761000 58120000 67201250 86017600 107522000 134402500 215044000 268805000 430088000 537610000 1075220000 2150440000