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422302202322 = 2371113170941143
BaseRepresentation
bin1100010010100110010…
…11000011100111010010
31111101000222002122010020
412021103023003213102
523404333330433242
6522000345444310
742340020331020
oct6112313034722
91441028078106
10422302202322
11153108647070
1269a181a0696
1330a90c7c670
141662212b710
15aeb981d6ec
hex62532c39d2

422302202322 has 128 divisors (see below), whose sum is σ = 1134705438720. Its totient is φ = 101189571840.

The previous prime is 422302202321. The next prime is 422302202339. The reversal of 422302202322 is 223202203224.

It is a super-4 number, since 4×4223022023224 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 422302202292 and 422302202301.

It is not an unprimeable number, because it can be changed into a prime (422302202321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10243683 + ... + 10284825.

It is an arithmetic number, because the mean of its divisors is an integer number (8864886240).

Almost surely, 2422302202322 is an apocalyptic number.

422302202322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 422302202322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567352719360).

422302202322 is an abundant number, since it is smaller than the sum of its proper divisors (712403236398).

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

422302202322 is a wasteful number, since it uses less digits than its factorization.

422302202322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42888.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 422302202322 its reverse (223202203224), we get a palindrome (645504405546).

The spelling of 422302202322 in words is "four hundred twenty-two billion, three hundred two million, two hundred two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 1709 2002 3003 3418 5127 6006 10254 11963 18799 22217 23926 35889 37598 41143 44434 56397 66651 71778 82286 112794 123429 131593 133302 155519 244387 246858 263186 288001 311038 394779 452573 466557 488774 534859 576002 733161 789558 864003 905146 933114 1069718 1357719 1466322 1604577 1710709 1728006 2715438 3168011 3209154 3421418 3744013 5132127 5883449 6336022 7488026 9504033 10264254 11232039 11766898 17650347 19008066 22464078 35300694 41184143 70313387 82368286 123552429 140626774 210940161 247104858 421880322 492193709 773447257 914074031 984387418 1476581127 1546894514 1828148062 2320341771 2742222093 2953162254 4640683542 5414130799 5484444186 6398518217 10054814341 10828261598 12797036434 16242392397 19195554651 20109628682 30164443023 32484784794 38391109302 60328886046 70383700387 140767400774 211151101161 422302202322