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32212221140 = 225111967115019
BaseRepresentation
bin11101111111111111…
…110111110011010100
310002010220222101021102
4131333333313303110
51011432312034030
622444215405232
72220151235111
oct357777676324
9102126871242
1032212221140
111272aa60570
1262ab983818
1330647b52a8
1417b8187908
15c87e5bc45
hex77fff7cd4

32212221140 has 96 divisors (see below), whose sum is σ = 78839308800. Its totient is φ = 10931310720.

The previous prime is 32212221113. The next prime is 32212221157. The reversal of 32212221140 is 4112221223.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222551 + ... + 337569.

It is an arithmetic number, because the mean of its divisors is an integer number (821242800).

Almost surely, 232212221140 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 32212221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39419654400).

32212221140 is an abundant number, since it is smaller than the sum of its proper divisors (46627087660).

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

32212221140 is a wasteful number, since it uses less digits than its factorization.

32212221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115125 (or 115123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 32212221140 its reverse (4112221223), we get a palindrome (36324442363).

It can be divided in two parts, 32212 and 221140, that added together give a palindrome (253352).

The spelling of 32212221140 in words is "thirty-two billion, two hundred twelve million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 67 76 95 110 134 190 209 220 268 335 380 418 670 737 836 1045 1273 1340 1474 2090 2546 2948 3685 4180 5092 6365 7370 12730 14003 14740 25460 28006 56012 70015 115019 140030 230038 280060 460076 575095 1150190 1265209 2185361 2300380 2530418 4370722 5060836 6326045 7706273 8741444 10926805 12652090 15412546 21853610 24038971 25304180 30825092 38531365 43707220 48077942 77062730 84769003 96155884 120194855 146419187 154125460 169538006 240389710 292838374 339076012 423845015 480779420 585676748 732095935 847690030 1464191870 1610611057 1695380060 2928383740 3221222114 6442444228 8053055285 16106110570 32212221140