Search a number
-
+
332122131420 = 2235191021285343
BaseRepresentation
bin1001101010101000000…
…01011000101111011100
31011202021011101101011020
410311110001120233130
520420141231201140
6412324053524140
732665203352302
oct4652401305734
91152234341136
10332122131420
11118941315052
125444b043650
132541ba60171
1412109358272
15898c7726d0
hex4d54058bdc

332122131420 has 96 divisors (see below), whose sum is σ = 979848468480. Its totient is φ = 83822065920.

The previous prime is 332122131413. The next prime is 332122131461. The reversal of 332122131420 is 24131221233.

It is a super-2 number, since 2×3321221314202 (a number of 24 digits) contains 22 as substring.

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, 1021269 + ... + 1306611.

It is an arithmetic number, because the mean of its divisors is an integer number (10206754880).

Almost surely, 2332122131420 is an apocalyptic number.

332122131420 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 332122131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489924234240).

332122131420 is an abundant number, since it is smaller than the sum of its proper divisors (647726337060).

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

332122131420 is a wasteful number, since it uses less digits than its factorization.

332122131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286395 (or 286393 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 332122131420 its reverse (24131221233), we get a palindrome (356253352653).

The spelling of 332122131420 in words is "three hundred thirty-two billion, one hundred twenty-two million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1021 1140 2042 3063 4084 5105 6126 10210 12252 15315 19399 20420 30630 38798 58197 61260 77596 96995 116394 193990 232788 285343 290985 387980 570686 581970 856029 1141372 1163940 1426715 1712058 2853430 3424116 4280145 5421517 5706860 8560290 10843034 16264551 17120580 21686068 27107585 32529102 54215170 65058204 81322755 108430340 162645510 291335203 325291020 582670406 874005609 1165340812 1456676015 1748011218 2913352030 3496022436 4370028045 5535368857 5826704060 8740056090 11070737714 16606106571 17480112180 22141475428 27676844285 33212213142 55353688570 66424426284 83030532855 110707377140 166061065710 332122131420