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2241121000 = 23532241121
BaseRepresentation
bin1000010110010100…
…1100101011101000
312210012001202001111
42011211030223220
514042211333000
61010215000104
7106352133316
oct20545145350
95705052044
102241121000
11a50066418
12526669034
132993cb501
141739030b6
15d1b40cba
hex8594cae8

2241121000 has 32 divisors (see below), whose sum is σ = 5244225480. Its totient is φ = 896448000.

The previous prime is 2241120983. The next prime is 2241121007. The reversal of 2241121000 is 1211422.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 143664196 + 2097456804 = 11986^2 + 45798^2 .

It is not an unprimeable number, because it can be changed into a prime (2241121007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119561 + ... + 1121560.

Almost surely, 22241121000 is an apocalyptic number.

2241121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241121000 is an abundant number, since it is smaller than the sum of its proper divisors (3003104480).

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

2241121000 is a wasteful number, since it uses less digits than its factorization.

2241121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241142 (or 2241128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2241121000 is about 47340.4795074997. The cubic root of 2241121000 is about 1308.6447534691.

Adding to 2241121000 its reverse (1211422), we get a palindrome (2242332422).

The spelling of 2241121000 in words is "two billion, two hundred forty-one million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2241121 4482242 8964484 11205605 17928968 22411210 44822420 56028025 89644840 112056050 224112100 280140125 448224200 560280250 1120560500 2241121000