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22132023000 = 2335327726633
BaseRepresentation
bin10100100111001010…
…111101111011011000
32010010102022020222120
4110213022331323120
5330311244214000
614100050021240
71412311043253
oct244712757330
963112266876
1022132023000
119427a4a4aa
124357b77820
1321192c84c9
1410dd50a09a
1589800b6a0
hex5272bded8

22132023000 has 128 divisors (see below), whose sum is σ = 69303798720. Its totient is φ = 5880345600.

The previous prime is 22132022923. The next prime is 22132023031. The reversal of 22132023000 is 32023122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817684 + ... + 844316.

Almost surely, 222132023000 is an apocalyptic number.

22132023000 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 22132023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34651899360).

22132023000 is an abundant number, since it is smaller than the sum of its proper divisors (47171775720).

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

22132023000 is a wasteful number, since it uses less digits than its factorization.

22132023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26934 (or 26920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 22132023000 its reverse (32023122), we get a palindrome (22164046122).

The spelling of 22132023000 in words is "twenty-two billion, one hundred thirty-two million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 277 300 375 500 554 600 750 831 1000 1108 1385 1500 1662 2216 2770 3000 3324 4155 5540 6648 6925 8310 11080 13850 16620 20775 26633 27700 33240 34625 41550 53266 55400 69250 79899 83100 103875 106532 133165 138500 159798 166200 207750 213064 266330 277000 319596 399495 415500 532660 639192 665825 798990 831000 1065320 1331650 1597980 1997475 2663300 3195960 3329125 3994950 5326600 6658250 7377341 7989900 9987375 13316500 14754682 15979800 19974750 22132023 26633000 29509364 36886705 39949500 44264046 59018728 73773410 79899000 88528092 110660115 147546820 177056184 184433525 221320230 295093640 368867050 442640460 553300575 737734100 885280920 922167625 1106601150 1475468200 1844335250 2213202300 2766502875 3688670500 4426404600 5533005750 7377341000 11066011500 22132023000