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1220004324 = 2232711736029
BaseRepresentation
bin100100010110111…
…1100100111100100
310011000122122022100
41020231330213210
54444310114244
6321020532100
742142602630
oct11055744744
93130578270
101220004324
1157672a340
122a06b1030
131659a9866
14b8059dc0
157218cb69
hex48b7c9e4

1220004324 has 144 divisors (see below), whose sum is σ = 3898177920. Its totient is φ = 312491520.

The previous prime is 1220004319. The next prime is 1220004329. The reversal of 1220004324 is 4234000221.

1220004324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1220004319) and next prime (1220004329).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1220004297 and 1220004306.

It is not an unprimeable number, because it can be changed into a prime (1220004329) 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, 199342 + ... + 205370.

It is an arithmetic number, because the mean of its divisors is an integer number (27070680).

Almost surely, 21220004324 is an apocalyptic number.

1220004324 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 1220004324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949088960).

1220004324 is an abundant number, since it is smaller than the sum of its proper divisors (2678173596).

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

1220004324 is a wasteful number, since it uses less digits than its factorization.

1220004324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1220004324 is about 34928.5602909711. The cubic root of 1220004324 is about 1068.5309925306.

Adding to 1220004324 its reverse (4234000221), we get a palindrome (5454004545).

The spelling of 1220004324 in words is "one billion, two hundred twenty million, four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 73 77 84 99 126 132 146 154 198 219 231 252 292 308 396 438 462 511 657 693 803 876 924 1022 1314 1386 1533 1606 2044 2409 2628 2772 3066 3212 4599 4818 5621 6029 6132 7227 9198 9636 11242 12058 14454 16863 18087 18396 22484 24116 28908 33726 36174 42203 50589 54261 66319 67452 72348 84406 101178 108522 126609 132638 168812 198957 202356 217044 253218 265276 379827 397914 440117 464233 506436 596871 759654 795828 880234 928466 1193742 1320351 1392699 1519308 1760468 1856932 2387484 2640702 2785398 3080819 3961053 4178097 4841287 5281404 5570796 6161638 7922106 8356194 9242457 9682574 12323276 14523861 15844212 16712388 18484914 19365148 27727371 29047722 33889009 36969828 43571583 55454742 58095444 67778018 87143166 101667027 110909484 135556036 174286332 203334054 305001081 406668108 610002162 1220004324