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3224213020 = 225783293947
BaseRepresentation
bin1100000000101101…
…1001011000011100
322022200220222210001
43000023121120130
523100344304040
61251534024044
7142620233650
oct30013313034
98280828701
103224213020
111404a90a66
1275b948024
133c4c98772
142282cca60
1513d0d259a
hexc02d961c

3224213020 has 96 divisors (see below), whose sum is σ = 7866367488. Its totient is φ = 1087249152.

The previous prime is 3224212997. The next prime is 3224213039. The reversal of 3224213020 is 203124223.

It is a congruent number.

It is an unprimeable number.

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, 3404187 + ... + 3405133.

It is an arithmetic number, because the mean of its divisors is an integer number (81941328).

Almost surely, 23224213020 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 3224213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3933183744).

3224213020 is an abundant number, since it is smaller than the sum of its proper divisors (4642154468).

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

3224213020 is a wasteful number, since it uses less digits than its factorization.

3224213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

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

The square root of 3224213020 is about 56782.1540626983. The cubic root of 3224213020 is about 1477.3199947144.

Adding to 3224213020 its reverse (203124223), we get a palindrome (3427337243).

The spelling of 3224213020 in words is "three billion, two hundred twenty-four million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 293 332 415 581 586 830 947 1162 1172 1465 1660 1894 2051 2324 2905 2930 3788 4102 4735 5810 5860 6629 8204 9470 10255 11620 13258 18940 20510 24319 26516 33145 41020 48638 66290 78601 97276 121595 132580 157202 170233 243190 277471 314404 340466 393005 486380 550207 554942 680932 786010 851165 1100414 1109884 1387355 1572020 1702330 1942297 2200828 2751035 2774710 3404660 3884594 5502070 5549420 7769188 9711485 11004140 19422970 23030093 38845940 46060186 92120372 115150465 161210651 230300930 322421302 460601860 644842604 806053255 1612106510 3224213020