Search a number
-
+
322220131332 = 223112365960649
BaseRepresentation
bin1001011000001011101…
…00010000010000000100
31010210201002000122122020
410230011310100100010
520234401323200312
6404005331403140
732164625632341
oct4540564202004
91123632018566
10322220131332
1111471a955900
1252546a534b0
1324501466008
141184a2257c8
1585ad2c178c
hex4b05d10404

322220131332 has 72 divisors (see below), whose sum is σ = 826649796000. Its totient is φ = 97614168960.

The previous prime is 322220131283. The next prime is 322220131349. The reversal of 322220131332 is 233131022223.

It is a super-2 number, since 2×3222201313322 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5282544 + ... + 5343192.

Almost surely, 2322220131332 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 322220131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413324898000).

322220131332 is an abundant number, since it is smaller than the sum of its proper divisors (504429664668).

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

322220131332 is a wasteful number, since it uses less digits than its factorization.

322220131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64337 (or 64324 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 322220131332 its reverse (233131022223), we get a palindrome (555351153555).

The spelling of 322220131332 in words is "three hundred twenty-two billion, two hundred twenty million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 3659 7318 10977 14636 21954 40249 43908 60649 80498 120747 121298 160996 181947 241494 242596 363894 442739 482988 667139 727788 885478 1328217 1334278 1770956 2001417 2656434 2668556 4002834 5312868 7338529 8005668 14677058 22015587 29354116 44031174 88062348 221914691 443829382 665744073 887658764 1331488146 2441061601 2662976292 4882123202 7323184803 9764246404 14646369606 26851677611 29292739212 53703355222 80555032833 107406710444 161110065666 322220131332