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422221380 = 223577114159
BaseRepresentation
bin11001001010101…
…001011001000100
31002102111001211220
4121022221121010
51331042041010
6105521400340
713314552060
oct3112513104
91072431756
10422221380
111a7373199
12b94990b0
1369621b49
144010aaa0
1527102970
hex192a9644

422221380 has 96 divisors (see below), whose sum is σ = 1370234880. Its totient is φ = 95141760.

The previous prime is 422221301. The next prime is 422221381. The reversal of 422221380 is 83122224.

It is a self number, because there is not a number n which added to its sum of digits gives 422221380.

It is not an unprimeable number, because it can be changed into a prime (422221381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22741 + ... + 36899.

It is an arithmetic number, because the mean of its divisors is an integer number (14273280).

Almost surely, 2422221380 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 422221380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685117440).

422221380 is an abundant number, since it is smaller than the sum of its proper divisors (948013500).

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

422221380 is a wasteful number, since it uses less digits than its factorization.

422221380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14249 (or 14247 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 422221380 is about 20548.0261825802. The cubic root of 422221380 is about 750.2052060711.

The spelling of 422221380 in words is "four hundred twenty-two million, two hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14159 14910 28318 29820 42477 56636 70795 84954 99113 141590 169908 198226 212385 283180 297339 396452 424770 495565 594678 849540 991130 1005289 1189356 1486695 1982260 2010578 2973390 3015867 4021156 5026445 5946780 6031734 7037023 10052890 12063468 14074046 15079335 20105780 21111069 28148092 30158670 35185115 42222138 60317340 70370230 84444276 105555345 140740460 211110690 422221380