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22313100000 = 2535574377
BaseRepresentation
bin10100110001111101…
…101110001011100000
32010121001000220221010
4110301331232023200
5331144123200000
614130035100520
71416640135452
oct246175561340
963531026833
1022313100000
119510188314
1243a8741740
132147988669
1411195a42d2
158a8d78d50
hex531f6e2e0

22313100000 has 144 divisors (see below), whose sum is σ = 73211157936. Its totient is φ = 5950080000.

The previous prime is 22313099993. The next prime is 22313100013. The reversal of 22313100000 is 131322.

It is a happy number.

It is a super-3 number, since 3×223131000003 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262812 + ... + 337188.

It is an arithmetic number, because the mean of its divisors is an integer number (508410819).

Almost surely, 222313100000 is an apocalyptic number.

22313100000 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 22313100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36605578968).

22313100000 is an abundant number, since it is smaller than the sum of its proper divisors (50898057936).

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

22313100000 is an frugal number, since it uses more digits than its factorization.

22313100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74415 (or 74387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 22313100000 its reverse (131322), we get a palindrome (22313231322).

The spelling of 22313100000 in words is "twenty-two billion, three hundred thirteen million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 74377 75000 100000 148754 150000 223131 297508 300000 371885 446262 595016 743770 892524 1115655 1190032 1487540 1785048 1859425 2231310 2380064 2975080 3570096 3718850 4462620 5578275 5950160 7140192 7437700 8925240 9297125 11156550 11900320 14875400 17850480 18594250 22313100 27891375 29750800 35700960 37188500 44626200 46485625 55782750 59501600 74377000 89252400 92971250 111565500 139456875 148754000 178504800 185942500 223131000 232428125 278913750 297508000 371885000 446262000 464856250 557827500 697284375 743770000 892524000 929712500 1115655000 1394568750 1487540000 1859425000 2231310000 2789137500 3718850000 4462620000 5578275000 7437700000 11156550000 22313100000