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1332401224 = 2371123157599
BaseRepresentation
bin100111101101010…
…1101010001001000
310102212010222212111
41033122231101020
510212043314344
6340113552104
745006136450
oct11732552110
93385128774
101332401224
11624118840
12312275634
13183070bbb
14c8d56d60
157be90834
hex4f6ad448

1332401224 has 128 divisors (see below), whose sum is σ = 3276288000. Its totient is φ = 492560640.

The previous prime is 1332401209. The next prime is 1332401251. The reversal of 1332401224 is 4221042331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1332401195 and 1332401204.

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, 2224077 + ... + 2224675.

It is an arithmetic number, because the mean of its divisors is an integer number (25596000).

Almost surely, 21332401224 is an apocalyptic number.

1332401224 is a gapful number since it is divisible by the number (14) 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 1332401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638144000).

1332401224 is an abundant number, since it is smaller than the sum of its proper divisors (1943886776).

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

1332401224 is a wasteful number, since it uses less digits than its factorization.

1332401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1332401224 is about 36502.0715028613. The cubic root of 1332401224 is about 1100.3858767410.

Adding to 1332401224 its reverse (4221042331), we get a palindrome (5553443555).

The spelling of 1332401224 in words is "one billion, three hundred thirty-two million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 77 88 92 154 157 161 184 253 308 314 322 506 599 616 628 644 1012 1099 1198 1256 1288 1727 1771 2024 2198 2396 3454 3542 3611 4193 4396 4792 6589 6908 7084 7222 8386 8792 12089 13178 13777 13816 14168 14444 16772 24178 25277 26356 27554 28888 33544 39721 46123 48356 50554 52712 55108 79442 92246 94043 96439 96712 101108 110216 151547 158884 184492 188086 192878 202216 278047 303094 317768 368984 376172 385756 556094 606188 658301 752344 771512 1034473 1060829 1112188 1212376 1316602 2068946 2121658 2162989 2224376 2633204 4137892 4243316 4325978 5266408 7241311 8275784 8486632 8651956 14482622 15140923 17303912 23792879 28965244 30281846 47585758 57930488 60563692 95171516 121127384 166550153 190343032 333100306 666200612 1332401224