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2141225120 = 25513382657
BaseRepresentation
bin111111110100000…
…1000000010100000
312112020002111200002
41333220020002200
513341123200440
6552245515132
7104030053556
oct17750100240
95466074602
102141225120
119a9736141
124b9112aa8
132817c3218
1416453bbd6
15c7eac115
hex7fa080a0

2141225120 has 24 divisors (see below), whose sum is σ = 5058644724. Its totient is φ = 856489984.

The previous prime is 2141225071. The next prime is 2141225131. The reversal of 2141225120 is 215221412.

It can be written as a sum of positive squares in 2 ways, for example, as 2129637904 + 11587216 = 46148^2 + 3404^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2141225092 and 2141225101.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6691169 + ... + 6691488.

Almost surely, 22141225120 is an apocalyptic number.

2141225120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141225120 is an abundant number, since it is smaller than the sum of its proper divisors (2917419604).

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

2141225120 is a wasteful number, since it uses less digits than its factorization.

2141225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13382672 (or 13382664 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2141225120 is about 46273.3737693719. The cubic root of 2141225120 is about 1288.9046086514.

Adding to 2141225120 its reverse (215221412), we get a palindrome (2356446532).

The spelling of 2141225120 in words is "two billion, one hundred forty-one million, two hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 13382657 26765314 53530628 66913285 107061256 133826570 214122512 267653140 428245024 535306280 1070612560 2141225120