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422022408048 = 243213921084253
BaseRepresentation
bin1100010010000100111…
…11101110011101110000
31111100022110121121112100
412021002133232131300
523403300214024143
6521512512500400
742330052165203
oct6110237563560
91440273547470
10422022408048
11152a8471352a
126995a54a700
1330a48007817
14165d6cd793a
15ae9eea16d3
hex62427ee770

422022408048 has 60 divisors (see below), whose sum is σ = 1189573610680. Its totient is φ = 139662085248.

The previous prime is 422022408047. The next prime is 422022408079. The reversal of 422022408048 is 840804220224.

It is a happy number.

422022408048 is a `hidden beast` number, since 4 + 2 + 202 + 2 + 408 + 0 + 48 = 666.

422022408048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422022408043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10522111 + ... + 10562142.

Almost surely, 2422022408048 is an apocalyptic number.

422022408048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

422022408048 is an abundant number, since it is smaller than the sum of its proper divisors (767551202632).

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

422022408048 is a wasteful number, since it uses less digits than its factorization.

422022408048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21084406 (or 21084397 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 422022408048 in words is "four hundred twenty-two billion, twenty-two million, four hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 20016 21084253 42168506 63252759 84337012 126505518 168674024 189758277 253011036 337348048 379516554 506022072 759033108 1012044144 1518066216 2930711167 3036132432 5861422334 8792133501 11722844668 17584267002 23445689336 26376400503 35168534004 46891378672 52752801006 70337068008 105505602012 140674136016 211011204024 422022408048