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3223142020 = 2257411793137
BaseRepresentation
bin1100000000011101…
…0011111010000100
322022121220120122101
43000013103322010
523100111021040
61251455041444
7142605153340
oct30007237204
98277816571
103223142020
11140441a33a
1275b510284
133c49b2137
142280d0620
1513ce7009a
hexc01d3e84

3223142020 has 96 divisors (see below), whose sum is σ = 7971022080. Its totient is φ = 1071759360.

The previous prime is 3223142009. The next prime is 3223142029. The reversal of 3223142020 is 202413223.

It is not an unprimeable number, because it can be changed into a prime (3223142029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1025892 + ... + 1029028.

It is an arithmetic number, because the mean of its divisors is an integer number (83031480).

Almost surely, 23223142020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985511040).

3223142020 is an abundant number, since it is smaller than the sum of its proper divisors (4747880060).

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

3223142020 is a wasteful number, since it uses less digits than its factorization.

3223142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3223142020 is about 56772.7224994539. The cubic root of 3223142020 is about 1477.1564007948.

Adding to 3223142020 its reverse (202413223), we get a palindrome (3425555243).

The spelling of 3223142020 in words is "three billion, two hundred twenty-three million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 179 205 287 358 410 574 716 820 895 1148 1253 1435 1790 2506 2870 3137 3580 5012 5740 6265 6274 7339 12530 12548 14678 15685 21959 25060 29356 31370 36695 43918 51373 62740 73390 87836 102746 109795 128617 146780 205492 219590 256865 257234 439180 513730 514468 561523 643085 900319 1027460 1123046 1286170 1800638 2246092 2572340 2807615 3601276 3930661 4501595 5615230 7861322 9003190 11230460 15722644 18006380 19653305 23022443 39306610 46044886 78613220 92089772 115112215 161157101 230224430 322314202 460448860 644628404 805785505 1611571010 3223142020