Search a number
-
+
32220100220 = 22571128392267
BaseRepresentation
bin11110000000011101…
…111011011001111100
310002011110210200100012
4132000131323121330
51011441321201340
622445100322352
72220305222150
oct360035733174
9102143720305
1032220100220
1112734452200
1262b25433b8
133066313679
1417b9239060
15c889b6565
hex78077b67c

32220100220 has 144 divisors (see below), whose sum is σ = 85136002560. Its totient is φ = 10026234240.

The previous prime is 32220100219. The next prime is 32220100243. The reversal of 32220100220 is 2200102223.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 32220100195 and 32220100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14211527 + ... + 14213793.

It is an arithmetic number, because the mean of its divisors is an integer number (591222240).

Almost surely, 232220100220 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 32220100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568001280).

32220100220 is an abundant number, since it is smaller than the sum of its proper divisors (52915902340).

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

32220100220 is a wasteful number, since it uses less digits than its factorization.

32220100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3144 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 32220100220 its reverse (2200102223), we get a palindrome (34420202443).

The spelling of 32220100220 in words is "thirty-two billion, two hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 839 847 1210 1540 1678 1694 2267 2420 3356 3388 4195 4235 4534 5873 8390 8470 9068 9229 11335 11746 15869 16780 16940 18458 22670 23492 24937 29365 31738 36916 45340 46145 49874 58730 63476 64603 79345 92290 99748 101519 117460 124685 129206 158690 174559 184580 203038 249370 258412 274307 317380 323015 349118 406076 498740 507595 548614 646030 698236 710633 872795 1015190 1097228 1292060 1371535 1421266 1745590 1902013 1920149 2030380 2743070 2842532 3491180 3553165 3804026 3840298 5486140 7106330 7608052 7680596 9510065 9600745 13314091 14212660 19020130 19201490 20922143 26628182 38040260 38402980 41844286 53256364 66570455 83688572 104610715 133140910 146455001 209221430 230143573 266281820 292910002 418442860 460287146 585820004 732275005 920574292 1150717865 1464550010 1611005011 2301435730 2929100020 3222010022 4602871460 6444020044 8055025055 16110050110 32220100220