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1430221464 = 233272837741
BaseRepresentation
bin101010100111111…
…0111001010011000
310200200012210000100
41111033313022120
510412114041324
6353530335400
750304452610
oct12517671230
93620183010
101430221464
11674360611
1233ab8a560
1319a4004b9
14d7d3ba40
15858644c9
hex553f7298

1430221464 has 48 divisors (see below), whose sum is σ = 4426877520. Its totient is φ = 408634560.

The previous prime is 1430221439. The next prime is 1430221469. The reversal of 1430221464 is 4641220341.

It is a happy number.

1430221464 is a `hidden beast` number, since 1 + 430 + 221 + 4 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430221469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1418367 + ... + 1419374.

It is an arithmetic number, because the mean of its divisors is an integer number (92226615).

Almost surely, 21430221464 is an apocalyptic number.

1430221464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1430221464 is an abundant number, since it is smaller than the sum of its proper divisors (2996656056).

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

1430221464 is a wasteful number, since it uses less digits than its factorization.

1430221464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837760 (or 2837753 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1430221464 is about 37818.2689186060. The cubic root of 1430221464 is about 1126.6813283497.

The spelling of 1430221464 in words is "one billion, four hundred thirty million, two hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2837741 5675482 8513223 11350964 17026446 19864187 22701928 25539669 34052892 39728374 51079338 59592561 68105784 79456748 102158676 119185122 158913496 178777683 204317352 238370244 357555366 476740488 715110732 1430221464