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422166661224 = 233711228445163
BaseRepresentation
bin1100010010010110001…
…10000000100001101000
31111100200112001102200120
412021023012000201220
523404044131124344
6521535104403240
742333453261330
oct6111306004150
91440615042616
10422166661224
11153049090030
126999a916520
1330a6bb73a29
141660c1280c0
15aeac998219
hex624b180868

422166661224 has 64 divisors (see below), whose sum is σ = 1315844144640. Its totient is φ = 109653677760.

The previous prime is 422166661219. The next prime is 422166661249.

422166661224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 114220734 + ... + 114224429.

It is an arithmetic number, because the mean of its divisors is an integer number (20560064760).

Almost surely, 2422166661224 is an apocalyptic number.

422166661224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422166661224 is an abundant number, since it is smaller than the sum of its proper divisors (893677483416).

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

422166661224 is a wasteful number, since it uses less digits than its factorization.

422166661224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228445190 (or 228445186 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 422166661224 in words is "four hundred twenty-two billion, one hundred sixty-six million, six hundred sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 228445163 456890326 685335489 913780652 1370670978 1599116141 1827561304 2512896793 2741341956 3198232282 4797348423 5025793586 5482683912 6396464564 7538690379 9594696846 10051587172 12792929128 15077380758 17590277551 19189393692 20103174344 30154761516 35180555102 38378787384 52770832653 60309523032 70361110204 105541665306 140722220408 211083330612 422166661224