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22300023000 = 2335341181301
BaseRepresentation
bin10100110001001011…
…110101100011011000
32010120010102112122210
4110301023311203120
5331132301214000
614124450515120
71416421032213
oct246113654330
963503375583
1022300023000
119503866382
1243a4295aa0
13214505a3a8
14111795c77a
158a7b44350
hex5312f58d8

22300023000 has 128 divisors (see below), whose sum is σ = 71273442240. Its totient is φ = 5801600000.

The previous prime is 22300022993. The next prime is 22300023013. The reversal of 22300023000 is 32000322.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32350 + ... + 213650.

Almost surely, 222300023000 is an apocalyptic number.

22300023000 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 22300023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35636721120).

22300023000 is an abundant number, since it is smaller than the sum of its proper divisors (48973419240).

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

22300023000 is a wasteful number, since it uses less digits than its factorization.

22300023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181366 (or 181352 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 22300023000 its reverse (32000322), we get a palindrome (22332023322).

The spelling of 22300023000 in words is "twenty-two billion, three hundred million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 2050 2460 3000 3075 4100 4920 5125 6150 8200 10250 12300 15375 20500 24600 30750 41000 61500 123000 181301 362602 543903 725204 906505 1087806 1450408 1813010 2175612 2719515 3626020 4351224 4532525 5439030 7252040 7433341 9065050 10878060 13597575 14866682 18130100 21756120 22300023 22662625 27195150 29733364 36260200 37166705 44600046 45325250 54390300 59466728 67987875 74333410 89200092 90650500 108780600 111500115 135975750 148666820 178400184 181301000 185833525 223000230 271951500 297333640 371667050 446000460 543903000 557500575 743334100 892000920 929167625 1115001150 1486668200 1858335250 2230002300 2787502875 3716670500 4460004600 5575005750 7433341000 11150011500 22300023000