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224202242202422 = 211373101137199419
BaseRepresentation
bin110010111110100100100111…
…000000010001101100110110
31002101211112011202011122010212
4302332210213000101230312
5213341312143000434142
62112501031013545422
765140035365606051
oct6276444700215466
91071745152148125
10224202242202422
116548a700868000
122118ba91345272
139814247076cb3
143d51636da7a98
151adc03510ad82
hexcbe927011b36

224202242202422 has 256 divisors, whose sum is σ = 384284259072000. Its totient is φ = 98061435648000.

The previous prime is 224202242202413. The next prime is 224202242202451.

224202242202422 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 535088883329 + ... + 535088883747.

It is an arithmetic number, because the mean of its divisors is an integer number (1501110387000).

Almost surely, 2224202242202422 is an apocalyptic number.

224202242202422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

224202242202422 is a deficient number, since it is larger than the sum of its proper divisors (160082016869578).

224202242202422 is a wasteful number, since it uses less digits than its factorization.

224202242202422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 2242022 and 42202422, that added together give a palindrome (44444444).

The spelling of 224202242202422 in words is "two hundred twenty-four trillion, two hundred two billion, two hundred forty-two million, two hundred two thousand, four hundred twenty-two".