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220422420224 = 282376149193
BaseRepresentation
bin1100110101001000110…
…0110011011100000000
3210001221121200010100122
43031102030303130000
512102411114421344
6245132145235412
721632162441516
oct3152214633400
9701847603318
10220422420224
1185531789846
1236877032b68
1317a2a3882b6
14a9505264b6
155b01331aee
hex3352333700

220422420224 has 72 divisors (see below), whose sum is σ = 459726194592. Its totient is φ = 105278750720.

The previous prime is 220422420221. The next prime is 220422420289. The reversal of 220422420224 is 422024224022.

It is a junction number, because it is equal to n+sod(n) for n = 220422420193 and 220422420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220422420221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4456172 + ... + 4505364.

It is an arithmetic number, because the mean of its divisors is an integer number (6385086036).

Almost surely, 2220422420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220422420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229863097296).

220422420224 is an abundant number, since it is smaller than the sum of its proper divisors (239303774368).

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

220422420224 is an equidigital number, since it uses as much as digits as its factorization.

220422420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49993 (or 49979 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 220422420224 its reverse (422024224022), we get a palindrome (642446644246).

The spelling of 220422420224 in words is "two hundred twenty billion, four hundred twenty-two million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 736 761 1472 1522 2944 3044 5888 6088 12176 17503 24352 35006 48704 49193 70012 97408 98386 140024 194816 196772 280048 393544 560096 787088 1120192 1131439 1574176 2240384 2262878 3148352 4480768 4525756 6296704 9051512 12593408 18103024 36206048 37435873 72412096 74871746 144824192 149743492 289648384 299486984 598973968 861025079 1197947936 1722050158 2395895872 3444100316 4791791744 6888200632 9583583488 13776401264 27552802528 55105605056 110211210112 220422420224