Search a number
-
+
3223136532 = 22371122331361
BaseRepresentation
bin1100000000011101…
…0010100100010100
322022121220022010010
43000013102210110
523100110332112
61251455000220
7142605131340
oct30007224424
98277808103
103223136532
111404416200
1275b509070
133c49ac7a5
142280cc620
1513ce6d63c
hexc01d2914

3223136532 has 144 divisors (see below), whose sum is σ = 9494948736. Its totient is φ = 832972800.

The previous prime is 3223136443. The next prime is 3223136537. The reversal of 3223136532 is 2356313223.

It is a self number, because there is not a number n which added to its sum of digits gives 3223136532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223136537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2367532 + ... + 2368892.

It is an arithmetic number, because the mean of its divisors is an integer number (65937144).

Almost surely, 23223136532 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 3223136532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747474368).

3223136532 is an abundant number, since it is smaller than the sum of its proper divisors (6271812204).

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

3223136532 is a wasteful number, since it uses less digits than its factorization.

3223136532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630 (or 1617 counting only the distinct ones).

The product of its digits is 19440, while the sum is 30.

The square root of 3223136532 is about 56772.6741663628. The cubic root of 3223136532 is about 1477.1555624163.

Adding to 3223136532 its reverse (2356313223), we get a palindrome (5579449755).

The spelling of 3223136532 in words is "three billion, two hundred twenty-three million, one hundred thirty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 233 242 308 363 462 466 484 699 726 847 924 932 1361 1398 1452 1631 1694 2541 2563 2722 2796 3262 3388 4083 4893 5082 5126 5444 6524 7689 8166 9527 9786 10164 10252 14971 15378 16332 17941 19054 19572 28193 28581 29942 30756 35882 38108 44913 53823 56386 57162 59884 71764 84579 89826 104797 107646 112772 114324 164681 169158 179652 197351 209594 215292 314391 317113 329362 338316 394702 419188 494043 592053 628782 634226 658724 789404 951339 988086 1152767 1184106 1257564 1268452 1902678 1976172 2219791 2305534 2368212 3458301 3488243 3805356 4439582 4611068 6659373 6916602 6976486 8879164 10464729 13318746 13833204 13952972 20929458 24417701 26637492 38370673 41858916 48835402 73253103 76741346 97670804 115112019 146506206 153482692 230224038 268594711 293012412 460448076 537189422 805784133 1074378844 1611568266 3223136532