Search a number
-
+
22310230000 = 24542397001
BaseRepresentation
bin10100110001110010…
…110001011111110000
32010120211122010000211
4110301302301133300
5331142404330000
614125453353504
71416603553222
oct246162613760
963524563024
1022310230000
1195095a8013
1243a7798894
1321471c2236
141119058412
158a89ad7ba
hex531cb17f0

22310230000 has 100 divisors (see below), whose sum is σ = 56364370128. Its totient is φ = 8536000000.

The previous prime is 22310229971. The next prime is 22310230043. The reversal of 22310230000 is 3201322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×223102300003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181500 + ... + 278500.

Almost surely, 222310230000 is an apocalyptic number.

22310230000 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 22310230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28182185064).

22310230000 is an abundant number, since it is smaller than the sum of its proper divisors (34054140128).

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

22310230000 is an equidigital number, since it uses as much as digits as its factorization.

22310230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97052 (or 97031 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22310230000 its reverse (3201322), we get a palindrome (22313431322).

The spelling of 22310230000 in words is "twenty-two billion, three hundred ten million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57500 97001 115000 194002 230000 388004 485005 776008 970010 1552016 1940020 2231023 2425025 3880040 4462046 4850050 7760080 8924092 9700100 11155115 12125125 17848184 19400200 22310230 24250250 35696368 38800400 44620460 48500500 55775575 60625625 89240920 97001000 111551150 121251250 178481840 194002000 223102300 242502500 278877875 446204600 485005000 557755750 892409200 970010000 1115511500 1394389375 2231023000 2788778750 4462046000 5577557500 11155115000 22310230000