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31222202004 = 223573711319
BaseRepresentation
bin11101000100111111…
…001111111010010100
32222120221002012100000
4131010333033322110
51002420340431004
622202052051300
72153500224000
oct350477177224
988527065300
1031222202004
1112272134534
126074303b30
132c37661056
1417228b7700
15c2b09cc39
hex744fcfe94

31222202004 has 288 divisors, whose sum is σ = 96864768000. Its totient is φ = 8788318560.

The previous prime is 31222201999. The next prime is 31222202027. The reversal of 31222202004 is 40020222213.

It is a super-3 number, since 3×312222020043 (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23670457 + ... + 23671775.

It is an arithmetic number, because the mean of its divisors is an integer number (336336000).

Almost surely, 231222202004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31222202004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384000).

31222202004 is an abundant number, since it is smaller than the sum of its proper divisors (65642565996).

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

31222202004 is a wasteful number, since it uses less digits than its factorization.

31222202004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1402 counting only the distinct ones).

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

Adding to 31222202004 its reverse (40020222213), we get a palindrome (71242424217).

The spelling of 31222202004 in words is "thirty-one billion, two hundred twenty-two million, two hundred two thousand, four".