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2221323132 = 2237731033517
BaseRepresentation
bin1000010001100110…
…1011001101111100
312201210210220111010
42010121223031330
514022124320012
61004230355220
7106021635510
oct20431531574
95653726433
102221323132
11a3a973a46
1251babbb10
132952890b2
1417102c140
15d002ec3c
hex8466b37c

2221323132 has 96 divisors (see below), whose sum is σ = 6064694272. Its totient is φ = 619716096.

The previous prime is 2221323119. The next prime is 2221323149. The reversal of 2221323132 is 2313231222.

It is a happy number.

2221323132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2221323099 and 2221323108.

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, 629838 + ... + 633354.

Almost surely, 22221323132 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 2221323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032347136).

2221323132 is an abundant number, since it is smaller than the sum of its proper divisors (3843371140).

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

2221323132 is a wasteful number, since it uses less digits than its factorization.

2221323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3705 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2221323132 is about 47130.9148224390. The cubic root of 2221323132 is about 1304.7798656886.

Adding to 2221323132 its reverse (2313231222), we get a palindrome (4534554354).

The spelling of 2221323132 in words is "two billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 103 146 206 219 292 309 412 438 511 618 721 876 1022 1236 1442 1533 2044 2163 2884 3066 3517 4326 6132 7034 7519 8652 10551 14068 15038 21102 22557 24619 30076 42204 45114 49238 52633 73857 90228 98476 105266 147714 157899 210532 256741 295428 315798 362251 513482 631596 724502 770223 1026964 1086753 1449004 1540446 1797187 2173506 2535757 3080892 3594374 4347012 5071514 5391561 7188748 7607271 10143028 10783122 15214542 21566244 26444323 30429084 52888646 79332969 105777292 158665938 185110261 317331876 370220522 555330783 740441044 1110661566 2221323132