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3021222420 = 2232537453637
BaseRepresentation
bin1011010000010100…
…0011001000010100
321210112222000000200
42310011003020110
522141413104140
61215443140500
7134603652426
oct26405031024
97715860020
103021222420
111310446137
12703974730
13391c05198
1420936c816
1512a387030
hexb4143214

3021222420 has 72 divisors (see below), whose sum is σ = 9412081224. Its totient is φ = 783883008.

The previous prime is 3021222367. The next prime is 3021222437. The reversal of 3021222420 is 242221203.

3021222420 is a `hidden beast` number, since 3 + 0 + 21 + 222 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1255710096 + 1765512324 = 35436^2 + 42018^2 .

It is a super-2 number, since 2×30212224202 = 18255569822221312800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3021222393 and 3021222402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220159 + ... + 233478.

Almost surely, 23021222420 is an apocalyptic number.

3021222420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3021222420 is an abundant number, since it is smaller than the sum of its proper divisors (6390858804).

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

3021222420 is a wasteful number, since it uses less digits than its factorization.

3021222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453689 (or 453684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3021222420 is about 54965.6476355915. The cubic root of 3021222420 is about 1445.6424740069.

Adding to 3021222420 its reverse (242221203), we get a palindrome (3263443623).

The spelling of 3021222420 in words is "three billion, twenty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 453637 907274 1360911 1814548 2268185 2721822 4082733 4536370 5443644 6804555 8165466 9072740 13609110 16330932 16784569 20413665 27218220 33569138 40827330 50353707 67138276 81654660 83922845 100707414 151061121 167845690 201414828 251768535 302122242 335691380 503537070 604244484 755305605 1007074140 1510611210 3021222420