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4221146436 = 2231394728573
BaseRepresentation
bin1111101110011001…
…1001010101000100
3101220011211110022220
43323212121111010
532121103141221
61534505452340
7206414103243
oct37346312504
911804743286
104221146436
1118767aa881
129997a10b0
135236a0bb0
142c087c95a
1519a8aa0c6
hexfb999544

4221146436 has 48 divisors (see below), whose sum is σ = 10618555584. Its totient is φ = 1297397376.

The previous prime is 4221146387. The next prime is 4221146453. The reversal of 4221146436 is 6346411224.

It is a happy number.

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4221146397 and 4221146406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133446 + ... + 162018.

It is an arithmetic number, because the mean of its divisors is an integer number (221219908).

Almost surely, 24221146436 is an apocalyptic number.

It is an amenable number.

4221146436 is an abundant number, since it is smaller than the sum of its proper divisors (6397409148).

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

4221146436 is a wasteful number, since it uses less digits than its factorization.

4221146436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29540 (or 29538 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4221146436 is about 64970.3504377189. The cubic root of 4221146436 is about 1616.1319130831.

The spelling of 4221146436 in words is "four billion, two hundred twenty-one million, one hundred forty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 947 1894 2841 3788 5682 11364 12311 24622 28573 36933 49244 57146 73866 85719 114292 147732 171438 342876 371449 742898 1114347 1485796 2228694 4457388 27058631 54117262 81175893 108234524 162351786 324703572 351762203 703524406 1055286609 1407048812 2110573218 4221146436