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23323021000 = 2353531014357
BaseRepresentation
bin10101101110001010…
…010000111011001000
32020012102101020002121
4111232022100323020
5340231143133000
614414153141024
71453652256526
oct255612207310
966172336077
1023323021000
119989267974
12462a9ba774
132278c8a456
1411b3775316
15917869b1a
hex56e290ec8

23323021000 has 128 divisors (see below), whose sum is σ = 56169041760. Its totient is φ = 9060480000.

The previous prime is 23323020989. The next prime is 23323021009. The reversal of 23323021000 is 12032332.

It can be written as a sum of positive squares in 16 ways, for example, as 6836974596 + 16486046404 = 82686^2 + 128398^2 .

It is not an unprimeable number, because it can be changed into a prime (23323021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5350822 + ... + 5355178.

Almost surely, 223323021000 is an apocalyptic number.

23323021000 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 23323021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28084520880).

23323021000 is an abundant number, since it is smaller than the sum of its proper divisors (32846020760).

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

23323021000 is a wasteful number, since it uses less digits than its factorization.

23323021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4532 (or 4518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23323021000 its reverse (12032332), we get a palindrome (23335053332).

The spelling of 23323021000 in words is "twenty-three billion, three hundred twenty-three million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 101 106 125 200 202 212 250 265 404 424 500 505 530 808 1000 1010 1060 1325 2020 2120 2525 2650 4040 4357 5050 5300 5353 6625 8714 10100 10600 10706 12625 13250 17428 20200 21412 21785 25250 26500 26765 34856 42824 43570 50500 53000 53530 87140 101000 107060 108925 133825 174280 214120 217850 230921 267650 435700 440057 461842 535300 544625 669125 871400 880114 923684 1070600 1089250 1154605 1338250 1760228 1847368 2178500 2200285 2309210 2676500 3520456 4357000 4400570 4618420 5353000 5773025 8801140 9236840 11001425 11546050 17602280 22002850 23092100 23323021 28865125 44005700 46184200 46646042 55007125 57730250 88011400 93292084 110014250 115460500 116615105 186584168 220028500 230921000 233230210 440057000 466460420 583075525 932920840 1166151050 2332302100 2915377625 4664604200 5830755250 11661510500 23323021000