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930378221 = 2329371877
BaseRepresentation
bin110111011101000…
…111000111101101
32101211200002222122
4313131013013231
53401134100341
6232153122325
732025040643
oct6735070755
92354602878
10930378221
114381a0a23
1221b6b93a5
1311a9a1876
148b7c7193
1556a2c94b
hex377471ed

930378221 has 12 divisors (see below), whose sum is σ = 974144892. Its totient is φ = 888503616.

The previous prime is 930378217. The next prime is 930378233. The reversal of 930378221 is 122873039.

It can be written as a sum of positive squares in 2 ways, for example, as 272712196 + 657666025 = 16514^2 + 25645^2 .

It is not a de Polignac number, because 930378221 - 22 = 930378217 is a prime.

It is a super-2 number, since 2×9303782212 = 1731207268222249682, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930378121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494735 + ... + 496611.

It is an arithmetic number, because the mean of its divisors is an integer number (81178741).

Almost surely, 2930378221 is an apocalyptic number.

It is an amenable number.

930378221 is a deficient number, since it is larger than the sum of its proper divisors (43766671).

930378221 is a wasteful number, since it uses less digits than its factorization.

930378221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 930378221 is about 30502.1019111798. The cubic root of 930378221 is about 976.2323128602.

The spelling of 930378221 in words is "nine hundred thirty million, three hundred seventy-eight thousand, two hundred twenty-one".

Divisors: 1 23 529 937 1877 21551 43171 495673 992933 1758749 40451227 930378221