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1213225332 = 2231117531012
BaseRepresentation
bin100100001010000…
…0101100101110100
310010112220020021120
41020110011211310
54441041202312
6320215343540
742031150044
oct11024054564
93115806246
101213225332
1157291a170
1229a381bb0
13164475117
14b71b3724
157179e28c
hex48505974

1213225332 has 144 divisors (see below), whose sum is σ = 3364877376. Its totient is φ = 336128000.

The previous prime is 1213225327. The next prime is 1213225333. The reversal of 1213225332 is 2335223121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213225333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12012082 + ... + 12012182.

It is an arithmetic number, because the mean of its divisors is an integer number (23367204).

Almost surely, 21213225332 is an apocalyptic number.

1213225332 is a gapful number since it is divisible by the number (12) 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 1213225332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682438688).

1213225332 is an abundant number, since it is smaller than the sum of its proper divisors (2151652044).

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

1213225332 is a wasteful number, since it uses less digits than its factorization.

1213225332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 187 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 1213225332 is about 34831.3842963498. The cubic root of 1213225332 is about 1066.5482069403.

Adding to 1213225332 its reverse (2335223121), we get a palindrome (3548448453).

The spelling of 1213225332 in words is "one billion, two hundred thirteen million, two hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 101 102 106 132 159 187 202 204 212 303 318 374 404 561 583 606 636 748 901 1111 1122 1166 1212 1717 1749 1802 2222 2244 2332 2703 3333 3434 3498 3604 4444 5151 5353 5406 6666 6868 6996 9911 10201 10302 10706 10812 13332 16059 18887 19822 20402 20604 21412 29733 30603 32118 37774 39644 40804 56661 58883 59466 61206 64236 75548 91001 112211 113322 117766 118932 122412 173417 176649 182002 224422 226644 235532 273003 336633 346834 353298 364004 448844 520251 540653 546006 673266 693668 706596 1001011 1040502 1081306 1092012 1346532 1621959 1907587 2002022 2081004 2162612 3003033 3243918 3815174 4004044 5722761 5947183 6006066 6487836 7630348 9191101 11445522 11894366 12012132 17841549 18382202 22891044 23788732 27573303 35683098 36764404 55146606 71366196 101102111 110293212 202204222 303306333 404408444 606612666 1213225332