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2241222408 = 2332131237619
BaseRepresentation
bin1000010110010110…
…0101011100001000
312210012020220011100
42011211211130020
514042223104113
61010221101400
7106353035055
oct20545453410
95705226140
102241222408
11a50125627
125266b7860
13299435709
1417392c02c
15d1b60d73
hex85965708

2241222408 has 48 divisors (see below), whose sum is σ = 6116338800. Its totient is φ = 741368160.

The previous prime is 2241222397. The next prime is 2241222409. The reversal of 2241222408 is 8042221422.

2241222408 is a `hidden beast` number, since 2 + 2 + 412 + 2 + 240 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2241222409) by changing a digit.

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, 109378 + ... + 128241.

It is an arithmetic number, because the mean of its divisors is an integer number (127423725).

Almost surely, 22241222408 is an apocalyptic number.

It is an amenable number.

2241222408 is an abundant number, since it is smaller than the sum of its proper divisors (3875116392).

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

2241222408 is a wasteful number, since it uses less digits than its factorization.

2241222408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237762 (or 237755 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2241222408 is about 47341.5505449494. The cubic root of 2241222408 is about 1308.6644913660.

The spelling of 2241222408 in words is "two billion, two hundred forty-one million, two hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 237619 475238 712857 950476 1425714 1900952 2138571 2851428 4277142 5702856 8554284 17108568 31128089 62256178 93384267 124512356 186768534 249024712 280152801 373537068 560305602 747074136 1120611204 2241222408