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422414993 = 7112133227
BaseRepresentation
bin11001001011011…
…000101010010001
31002102211220102202
4121023120222101
51331114234433
6105525452545
713316316410
oct3113305221
91072756382
10422414993
111a7495700
12b9571155
136968c000
144015b477
152713eee8
hex192d8a91

422414993 has 48 divisors (see below), whose sum is σ = 577368960. Its totient is φ = 302496480.

The previous prime is 422414969. The next prime is 422415001. The reversal of 422414993 is 399414224.

It is not a de Polignac number, because 422414993 - 210 = 422413969 is a prime.

It is a super-2 number, since 2×4224149932 = 356868852622380098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (422414693) 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 47 ways as a sum of consecutive naturals, for example, 1860746 + ... + 1860972.

It is an arithmetic number, because the mean of its divisors is an integer number (12028520).

Almost surely, 2422414993 is an apocalyptic number.

It is an amenable number.

422414993 is a deficient number, since it is larger than the sum of its proper divisors (154953967).

422414993 is a wasteful number, since it uses less digits than its factorization.

422414993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 422414993 is about 20552.7368737110. The cubic root of 422414993 is about 750.3198594191.

The spelling of 422414993 in words is "four hundred twenty-two million, four hundred fourteen thousand, nine hundred ninety-three".

Divisors: 1 7 11 13 77 91 121 143 169 227 847 1001 1183 1573 1589 1859 2197 2497 2951 11011 13013 15379 17479 20449 20657 24167 27467 32461 38363 143143 169169 192269 227227 265837 268541 357071 421993 498719 1860859 2499497 2953951 3491033 4641923 5485909 32493461 38401363 60344999 422414993