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3220021320 = 23351091731423
BaseRepresentation
bin1011111111101101…
…1010000001001000
322022102001000211220
42333323122001020
523043311140240
61251304122040
7142536505155
oct27773320110
98272030756
103220021320
11140268874a
1275a466320
133c415b879
1422791b22c
1513ca555d0
hexbfeda048

3220021320 has 128 divisors (see below), whose sum is σ = 9811929600. Its totient is φ = 845282304.

The previous prime is 3220021297. The next prime is 3220021339. The reversal of 3220021320 is 231200223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3220021320.

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 31 ways as a sum of consecutive naturals, for example, 2262129 + ... + 2263551.

It is an arithmetic number, because the mean of its divisors is an integer number (76655700).

Almost surely, 23220021320 is an apocalyptic number.

3220021320 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 3220021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4905964800).

3220021320 is an abundant number, since it is smaller than the sum of its proper divisors (6591908280).

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

3220021320 is a wasteful number, since it uses less digits than its factorization.

3220021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3220021320 is about 56745.2316939494. The cubic root of 3220021320 is about 1476.6795110082.

Adding to 3220021320 its reverse (231200223), we get a palindrome (3451221543).

The spelling of 3220021320 in words is "three billion, two hundred twenty million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 173 218 327 346 436 519 545 654 692 865 872 1038 1090 1308 1384 1423 1635 1730 2076 2180 2595 2616 2846 3270 3460 4152 4269 4360 5190 5692 6540 6920 7115 8538 10380 11384 13080 14230 17076 18857 20760 21345 28460 34152 37714 42690 56571 56920 75428 85380 94285 113142 150856 155107 170760 188570 226284 246179 282855 310214 377140 452568 465321 492358 565710 620428 738537 754280 775535 930642 984716 1131420 1230895 1240856 1477074 1551070 1861284 1969432 2262840 2326605 2461790 2954148 3102140 3692685 3722568 4653210 4923580 5908296 6204280 7385370 9306420 9847160 14770740 18612840 26833511 29541480 53667022 80500533 107334044 134167555 161001066 214668088 268335110 322002132 402502665 536670220 644004264 805005330 1073340440 1610010660 3220021320