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22320010000 = 24544351907
BaseRepresentation
bin10100110010011000…
…000101001100010000
32010121112000222200001
4110302120011030100
5331202410310000
614130443135344
71420052645311
oct246230051420
963545028601
1022320010000
119514077962
1243aab14554
132149237912
14111a482608
158a979146a
hex532605310

22320010000 has 100 divisors (see below), whose sum is σ = 55296761872. Its totient is φ = 8720208000.

The previous prime is 22320009979. The next prime is 22320010001. The reversal of 22320010000 is 1002322.

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

It is a super-3 number, since 3×223200100003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22320010001) 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, 404047 + ... + 455953.

Almost surely, 222320010000 is an apocalyptic number.

22320010000 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 22320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27648380936).

22320010000 is an abundant number, since it is smaller than the sum of its proper divisors (32976751872).

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

22320010000 is an equidigital number, since it uses as much as digits as its factorization.

22320010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51978 (or 51957 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 22320010000 its reverse (1002322), we get a palindrome (22321012322).

The spelling of 22320010000 in words is "twenty-two billion, three hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3440 4300 5000 5375 8600 10000 10750 17200 21500 26875 43000 51907 53750 86000 103814 107500 207628 215000 259535 415256 430000 519070 830512 1038140 1297675 2076280 2232001 2595350 4152560 4464002 5190700 6488375 8928004 10381400 11160005 12976750 17856008 20762800 22320010 25953500 32441875 35712016 44640020 51907000 55800025 64883750 89280040 103814000 111600050 129767500 178560080 223200100 259535000 279000125 446400200 519070000 558000250 892800400 1116000500 1395000625 2232001000 2790001250 4464002000 5580002500 11160005000 22320010000