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20022100000 = 2555728603
BaseRepresentation
bin10010101001011010…
…010000000000100000
31220200101010001202021
4102221122100000200
5312001124200000
613110435031224
71306111020250
oct225132200040
956611101667
1020022100000
118544a54091
123a6943b514
131b71144b66
14d7d1d9960
157c2b8411a
hex4a9690020

20022100000 has 144 divisors (see below), whose sum is σ = 56310520896. Its totient is φ = 6864480000.

The previous prime is 20022099991. The next prime is 20022100009. The reversal of 20022100000 is 122002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20022099991) and next prime (20022100009).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (20022100009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 685699 + ... + 714301.

It is an arithmetic number, because the mean of its divisors is an integer number (391045284).

Almost surely, 220022100000 is an apocalyptic number.

20022100000 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 20022100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28155260448).

20022100000 is an abundant number, since it is smaller than the sum of its proper divisors (36288420896).

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

20022100000 is an frugal number, since it uses more digits than its factorization.

20022100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28645 (or 28617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20022100000 its reverse (122002), we get a palindrome (20022222002).

The spelling of 20022100000 in words is "twenty billion, twenty-two million, one hundred thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3125 3500 4000 4375 5000 5600 6250 7000 8750 10000 12500 14000 17500 20000 21875 25000 28000 28603 35000 43750 50000 57206 70000 87500 100000 114412 140000 143015 175000 200221 228824 286030 350000 400442 457648 572060 700000 715075 800884 915296 1001105 1144120 1430150 1601768 2002210 2288240 2860300 3203536 3575375 4004420 4576480 5005525 5720600 6407072 7150750 8008840 10011050 11441200 14301500 16017680 17876875 20022100 22882400 25027625 28603000 32035360 35753750 40044200 50055250 57206000 71507500 80088400 89384375 100110500 114412000 125138125 143015000 160176800 178768750 200221000 250276250 286030000 357537500 400442000 500552500 572060000 625690625 715075000 800884000 1001105000 1251381250 1430150000 2002210000 2502762500 2860300000 4004420000 5005525000 10011050000 20022100000