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422380040166 = 232731592318257
BaseRepresentation
bin1100010010101111100…
…11111110111111100110
31111101020101120012120100
412021113303332333212
523410013242241131
6522012210044530
742341654050350
oct6112763767746
91441211505510
10422380040166
11153148580867
1269a3a279746
1330aa4133866
141662c5d00d0
15aec15967e6
hex6257cfefe6

422380040166 has 96 divisors (see below), whose sum is σ = 1079873353728. Its totient is φ = 116760994560.

The previous prime is 422380040161. The next prime is 422380040183. The reversal of 422380040166 is 661040083224.

422380040166 is a `hidden beast` number, since 422 + 38 + 0 + 0 + 40 + 166 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 422380040166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422380040161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23126110 + ... + 23144366.

It is an arithmetic number, because the mean of its divisors is an integer number (11248680768).

Almost surely, 2422380040166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422380040166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539936676864).

422380040166 is an abundant number, since it is smaller than the sum of its proper divisors (657493313562).

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

422380040166 is a wasteful number, since it uses less digits than its factorization.

422380040166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24226 (or 24223 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 422380040166 in words is "four hundred twenty-two billion, three hundred eighty million, forty thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 5923 11846 17769 18257 35538 36514 41461 53307 54771 82922 106614 109542 124383 127799 164313 183613 248766 255598 328626 367226 373149 383397 550839 565967 746298 766794 1101678 1131934 1150191 1285291 1652517 1697901 2300382 2570582 3305034 3395802 3855873 3961769 5093703 7711746 7923538 10187406 11567619 11885307 23135238 23770614 35655921 71311842 108136211 216272422 324408633 648817266 756953477 973225899 1513906954 1946451798 2270860431 3352222541 4541720862 6704445082 6812581293 10056667623 13625162586 20113335246 23465557787 30170002869 46931115574 60340005738 70396673361 140793346722 211190020083 422380040166