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12224432920 = 2357251281619
BaseRepresentation
bin10110110001010001…
…00000101100011000
31011112221102112102211
423120220200230120
5200013423323140
65341004004504
7611634652060
oct133050405430
934487375384
1012224432920
115203412427
122451b30734
1311ca7c4b7b
1483d7603a0
154b83042ea
hex2d8a20b18

12224432920 has 128 divisors (see below), whose sum is σ = 31722969600. Its totient is φ = 4152960000.

The previous prime is 12224432917. The next prime is 12224432921. The reversal of 12224432920 is 2923442221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12224432921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19748371 + ... + 19748989.

It is an arithmetic number, because the mean of its divisors is an integer number (247835700).

Almost surely, 212224432920 is an apocalyptic number.

12224432920 is a gapful number since it is divisible by the number (10) 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 12224432920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15861484800).

12224432920 is an abundant number, since it is smaller than the sum of its proper divisors (19498536680).

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

12224432920 is a wasteful number, since it uses less digits than its factorization.

12224432920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 12224432920 in words is "twelve billion, two hundred twenty-four million, four hundred thirty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 251 280 281 502 562 619 1004 1124 1238 1255 1405 1757 1967 2008 2248 2476 2510 2810 3095 3514 3934 4333 4952 5020 5620 6190 7028 7868 8666 8785 9835 10040 11240 12380 14056 15736 17332 17570 19670 21665 24760 34664 35140 39340 43330 70280 70531 78680 86660 141062 155369 173320 173939 282124 310738 347878 352655 493717 564248 621476 695756 705310 776845 869695 987434 1087583 1217573 1242952 1391512 1410620 1553690 1739390 1974868 2175166 2435146 2468585 2821240 3107380 3478780 3949736 4350332 4870292 4937170 5437915 6087865 6214760 6957560 8700664 9740584 9874340 10875830 12175730 19748680 21751660 24351460 43503320 43658689 48702920 87317378 174634756 218293445 305610823 349269512 436586890 611221646 873173780 1222443292 1528054115 1746347560 2444886584 3056108230 6112216460 12224432920