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31222232320 = 28548750087
BaseRepresentation
bin11101000100111111…
…010111010100000000
32222120221010201220211
4131010333113110000
51002420342413240
622202052443504
72153500411246
oct350477272400
988527121824
1031222232320
1112272155294
126074319594
132c37671aa6
1417228c4796
15c2b0a6bea
hex744fd7500

31222232320 has 72 divisors (see below), whose sum is σ = 74942066304. Its totient is φ = 12462999552.

The previous prime is 31222232299. The next prime is 31222232369. The reversal of 31222232320 is 2323222213.

It is a junction number, because it is equal to n+sod(n) for n = 31222232291 and 31222232300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598317 + ... + 648403.

It is an arithmetic number, because the mean of its divisors is an integer number (1040862032).

Almost surely, 231222232320 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 31222232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37471033152).

31222232320 is an abundant number, since it is smaller than the sum of its proper divisors (43719833984).

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

31222232320 is an equidigital number, since it uses as much as digits as its factorization.

31222232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50595 (or 50581 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 31222232320 its reverse (2323222213), we get a palindrome (33545454533).

The spelling of 31222232320 in words is "thirty-one billion, two hundred twenty-two million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 487 640 974 1280 1948 2435 3896 4870 7792 9740 15584 19480 31168 38960 50087 62336 77920 100174 124672 155840 200348 250435 311680 400696 500870 623360 801392 1001740 1602784 2003480 3205568 4006960 6411136 8013920 12822272 16027840 24392369 32055680 48784738 64111360 97569476 121961845 195138952 243923690 390277904 487847380 780555808 975694760 1561111616 1951389520 3122223232 3902779040 6244446464 7805558080 15611116160 31222232320