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4022401005 = 33574256509
BaseRepresentation
bin1110111111000000…
…1111011111101101
3101101022212010212000
43233300033133231
531214213313010
61503050002513
7201451562430
oct35760173755
911338763760
104022401005
1117845a4457
12943116439
134c146594c
142a2305817
151881ec7c0
hexefc0f7ed

4022401005 has 32 divisors (see below), whose sum is σ = 8172499200. Its totient is φ = 1838811456.

The previous prime is 4022401003. The next prime is 4022401021. The reversal of 4022401005 is 5001042204.

It is not a de Polignac number, because 4022401005 - 21 = 4022401003 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022401003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127310 + ... + 2129199.

It is an arithmetic number, because the mean of its divisors is an integer number (255390600).

Almost surely, 24022401005 is an apocalyptic number.

4022401005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4022401005 is an abundant number, since it is smaller than the sum of its proper divisors (4150098195).

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

4022401005 is a wasteful number, since it uses less digits than its factorization.

4022401005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256530 (or 4256524 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4022401005 is about 63422.4014446000. The cubic root of 4022401005 is about 1590.3588189828.

Adding to 4022401005 its reverse (5001042204), we get a palindrome (9023443209).

The spelling of 4022401005 in words is "four billion, twenty-two million, four hundred one thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4256509 12769527 21282545 29795563 38308581 63847635 89386689 114925743 148977815 191542905 268160067 446933445 574628715 804480201 1340800335 4022401005