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22253533500 = 22353112122609
BaseRepresentation
bin10100101110011010…
…011111100100111100
32010102212221122001110
4110232122133210330
5331033401033000
614120110242020
71415314625262
oct245632374474
963385848043
1022253533500
11948a5a3100
1243907b6310
132138530b03
1411116da432
158a3a0e850
hex52e69f93c

22253533500 has 144 divisors (see below), whose sum is σ = 71229543840. Its totient is φ = 5394752000.

The previous prime is 22253533481. The next prime is 22253533501. The reversal of 22253533500 is 533535222.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22253533501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120196 + ... + 242804.

It is an arithmetic number, because the mean of its divisors is an integer number (494649610).

Almost surely, 222253533500 is an apocalyptic number.

22253533500 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 22253533500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614771920).

22253533500 is an abundant number, since it is smaller than the sum of its proper divisors (48976010340).

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

22253533500 is a wasteful number, since it uses less digits than its factorization.

22253533500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122653 (or 122630 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 30.

The spelling of 22253533500 in words is "twenty-two billion, two hundred fifty-three million, five hundred thirty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 125 132 150 165 220 242 250 275 300 330 363 375 484 500 550 605 660 726 750 825 1100 1210 1375 1452 1500 1650 1815 2420 2750 3025 3300 3630 4125 5500 6050 7260 8250 9075 12100 15125 16500 18150 30250 36300 45375 60500 90750 122609 181500 245218 367827 490436 613045 735654 1226090 1348699 1471308 1839135 2452180 2697398 3065225 3678270 4046097 5394796 6130450 6743495 7356540 8092194 9195675 12260900 13486990 14835689 15326125 16184388 18391350 20230485 26973980 29671378 30652250 33717475 36782700 40460970 44507067 45978375 59342756 61304500 67434950 74178445 80921940 89014134 91956750 101152425 134869900 148356890 168587375 178028268 183913500 202304850 222535335 296713780 337174750 370892225 404609700 445070670 505762125 674349500 741784450 890141340 1011524250 1112676675 1483568900 1854461125 2023048500 2225353350 3708922250 4450706700 5563383375 7417844500 11126766750 22253533500