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2122327808 = 28163181281
BaseRepresentation
bin111111010000000…
…0010011100000000
312110220112102102122
41332200002130000
513321303442213
6550332503412
7103410326426
oct17640023400
95426472378
102122327808
11999aa9327
124b291ab68
1327a907993
14161c1d116
15c64c7d08
hex7e802700

2122327808 has 72 divisors (see below), whose sum is σ = 4301156496. Its totient is φ = 1045094400.

The previous prime is 2122327777. The next prime is 2122327841. The reversal of 2122327808 is 8087232212.

It is a happy number.

It is a super-2 number, since 2×21223278082 = 9008550649220169728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7552628 + ... + 7552908.

Almost surely, 22122327808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150578248).

2122327808 is an abundant number, since it is smaller than the sum of its proper divisors (2178828688).

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

2122327808 is a wasteful number, since it uses less digits than its factorization.

2122327808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 2122327808 is about 46068.7291771761. The cubic root of 2122327808 is about 1285.1016706082.

The spelling of 2122327808 in words is "two billion, one hundred twenty-two million, three hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 128 163 181 256 281 326 362 562 652 724 1124 1304 1448 2248 2608 2896 4496 5216 5792 8992 10432 11584 17984 20864 23168 29503 35968 41728 45803 46336 50861 59006 71936 91606 101722 118012 183212 203444 236024 366424 406888 472048 732848 813776 944096 1465696 1627552 1888192 2931392 3255104 3776384 5862784 6510208 7552768 8290343 11725568 13020416 16580686 33161372 66322744 132645488 265290976 530581952 1061163904 2122327808