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422332220 = 225293183283
BaseRepresentation
bin11001001011000…
…100011100111100
31002102200200220002
4121023010130330
51331104112340
6105524013432
713315523162
oct3113043474
91072620802
10422332220
111a74394a2
12b9531278
136966042b
1440139232
1527125715
hex192c473c

422332220 has 96 divisors (see below), whose sum is σ = 961873920. Its totient is φ = 155393280.

The previous prime is 422332201. The next prime is 422332231. The reversal of 422332220 is 22233224.

422332220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 422332192 and 422332201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492199 + ... + 1492481.

It is an arithmetic number, because the mean of its divisors is an integer number (10019520).

Almost surely, 2422332220 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 422332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480936960).

422332220 is an abundant number, since it is smaller than the sum of its proper divisors (539541700).

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

422332220 is a wasteful number, since it uses less digits than its factorization.

422332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 422332220 is about 20550.7231016332. The cubic root of 422332220 is about 750.2708473624.

Adding to 422332220 its reverse (22233224), we get a palindrome (444565444).

The spelling of 422332220 in words is "four hundred twenty-two million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 58 62 83 116 124 145 155 166 283 290 310 332 415 566 580 620 830 899 1132 1415 1660 1798 2407 2573 2830 3596 4495 4814 5146 5660 8207 8773 8990 9628 10292 12035 12865 16414 17546 17980 23489 24070 25730 32828 35092 41035 43865 46978 48140 51460 74617 82070 87730 93956 117445 149234 164140 175460 234890 254417 298468 373085 469780 508834 681181 728159 746170 1017668 1272085 1362362 1456318 1492340 2544170 2724724 2912636 3405905 3640795 5088340 6811810 7281590 13623620 14563180 21116611 42233222 84466444 105583055 211166110 422332220