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22313030320 = 2457167238591
BaseRepresentation
bin10100110001111101…
…011101001010110000
32010121000220101100101
4110301331131022300
5331144113432240
614130033402144
71416636425350
oct246175351260
963530811311
1022313030320
11951013aa29
1243a8709354
132147962a29
141119586b60
158a8d6339a
hex531f5d2b0

22313030320 has 80 divisors (see below), whose sum is σ = 59644182528. Its totient is φ = 7604340480.

The previous prime is 22313030317. The next prime is 22313030371. The reversal of 22313030320 is 2303031322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223130303203 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25776 + ... + 212815.

Almost surely, 222313030320 is an apocalyptic number.

22313030320 is a gapful number since it is divisible by the number (20) 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 22313030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822091264).

22313030320 is an abundant number, since it is smaller than the sum of its proper divisors (37331152208).

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

22313030320 is a wasteful number, since it uses less digits than its factorization.

22313030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238778 (or 238772 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 22313030320 its reverse (2303031322), we get a palindrome (24616061642).

The spelling of 22313030320 in words is "twenty-two billion, three hundred thirteen million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 167 280 334 560 668 835 1169 1336 1670 2338 2672 3340 4676 5845 6680 9352 11690 13360 18704 23380 46760 93520 238591 477182 954364 1192955 1670137 1908728 2385910 3340274 3817456 4771820 6680548 8350685 9543640 13361096 16701370 19087280 26722192 33402740 39844697 66805480 79689394 133610960 159378788 199223485 278912879 318757576 398446970 557825758 637515152 796893940 1115651516 1394564395 1593787880 2231303032 2789128790 3187575760 4462606064 5578257580 11156515160 22313030320