Search a number
-
+
3224022120 = 23325111783577
BaseRepresentation
bin1100000000101010…
…1010110001101000
322022200120021220200
43000022222301220
523100322201440
61251525552200
7142615510254
oct30012526150
98280507820
103224022120
1114049705a0
1275b875660
133c4c2c8c7
1422827d264
1513d095c30
hexc02aac68

3224022120 has 384 divisors, whose sum is σ = 12270061440. Its totient is φ = 725483520.

The previous prime is 3224022101. The next prime is 3224022149. The reversal of 3224022120 is 212204223.

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 = 3224022093 and 3224022102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5587272 + ... + 5587848.

It is an arithmetic number, because the mean of its divisors is an integer number (31953285).

Almost surely, 23224022120 is an apocalyptic number.

3224022120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135030720).

3224022120 is an abundant number, since it is smaller than the sum of its proper divisors (9046039320).

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

3224022120 is a wasteful number, since it uses less digits than its factorization.

3224022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

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

The square root of 3224022120 is about 56780.4730519216. The cubic root of 3224022120 is about 1477.2908376300.

Adding to 3224022120 its reverse (212204223), we get a palindrome (3436226343).

The spelling of 3224022120 in words is "three billion, two hundred twenty-four million, twenty-two thousand, one hundred twenty".