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2242120410 = 232524912449
BaseRepresentation
bin1000010110100100…
…0000101011011010
312210020221111222200
42011221000223122
514042440323120
61010252231030
7106363465125
oct20551005332
95706844880
102242120410
11a50689282
12526a6b476
1329968b38a
14173ac33bc
15d1c8be90
hex85a40ada

2242120410 has 24 divisors (see below), whose sum is σ = 5829513300. Its totient is φ = 597898752.

The previous prime is 2242120381. The next prime is 2242120549. The reversal of 2242120410 is 140212422.

2242120410 is a `hidden beast` number, since 2 + 242 + 12 + 0 + 410 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1863389889 + 378730521 = 43167^2 + 19461^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12456135 + ... + 12456314.

Almost surely, 22242120410 is an apocalyptic number.

2242120410 is an abundant number, since it is smaller than the sum of its proper divisors (3587392890).

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

2242120410 is a wasteful number, since it uses less digits than its factorization.

2242120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24912462 (or 24912459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2242120410 is about 47351.0338852279. The cubic root of 2242120410 is about 1308.8392511170.

Adding to 2242120410 its reverse (140212422), we get a palindrome (2382332832).

The spelling of 2242120410 in words is "two billion, two hundred forty-two million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 24912449 49824898 74737347 124562245 149474694 224212041 249124490 373686735 448424082 747373470 1121060205 2242120410