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4214214224 = 2411163714627
BaseRepresentation
bin1111101100101111…
…1100111001010000
3101212200210021010022
43323023330321100
532112314323344
61534101123012
7206301141563
oct37313747120
911780707108
104214214224
1118728a5580
129973b9468
135221147ac
142bd9964da
15199e8b0ee
hexfb2fce50

4214214224 has 40 divisors (see below), whose sum is σ = 8913367008. Its totient is φ = 1914250880.

The previous prime is 4214214223. The next prime is 4214214227. The reversal of 4214214224 is 4224124124.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4214214193 and 4214214202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214214223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 280799 + ... + 295425.

Almost surely, 24214214224 is an apocalyptic number.

4214214224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4214214224 is an abundant number, since it is smaller than the sum of its proper divisors (4699152784).

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

4214214224 is a wasteful number, since it uses less digits than its factorization.

4214214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283 (or 16277 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 4214214224 is about 64916.9794737864. The cubic root of 4214214224 is about 1615.2467264201.

Adding to 4214214224 its reverse (4224124124), we get a palindrome (8438338348).

The spelling of 4214214224 in words is "four billion, two hundred fourteen million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1637 3274 6548 13096 14627 18007 26192 29254 36014 58508 72028 117016 144056 160897 234032 288112 321794 643588 1287176 2574352 23944399 47888798 95777596 191555192 263388389 383110384 526776778 1053553556 2107107112 4214214224