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22035530000 = 245411200323
BaseRepresentation
bin10100100001011010…
…111000000100010000
32002212200201220110202
4110201122320010100
5330112043430000
614042321514332
71410026625461
oct244132700420
962780656422
1022035530000
119388533920
12432b7a29a8
132102312063
1410d078cd68
1588e7eadd5
hex5216b8110

22035530000 has 100 divisors (see below), whose sum is σ = 58200532368. Its totient is φ = 8012880000.

The previous prime is 22035529921. The next prime is 22035530009. The reversal of 22035530000 is 3553022.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22035530009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9839 + ... + 210161.

Almost surely, 222035530000 is an apocalyptic number.

22035530000 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 22035530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100266184).

22035530000 is an abundant number, since it is smaller than the sum of its proper divisors (36165002368).

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

22035530000 is a wasteful number, since it uses less digits than its factorization.

22035530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200362 (or 200341 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The spelling of 22035530000 in words is "twenty-two billion, thirty-five million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 200323 400646 801292 1001615 1602584 2003230 2203553 3205168 4006460 4407106 5008075 8012920 8814212 10016150 11017765 16025840 17628424 20032300 22035530 25040375 35256848 40064600 44071060 50080750 55088825 80129200 88142120 100161500 110177650 125201875 176284240 200323000 220355300 250403750 275444125 400646000 440710600 500807500 550888250 881421200 1001615000 1101776500 1377220625 2003230000 2203553000 2754441250 4407106000 5508882500 11017765000 22035530000