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422280 = 233351723
BaseRepresentation
bin1100111000110001000
3210110021000
41213012020
5102003110
613015000
73406065
oct1470610
9713230
10422280
112692a1
12184460
1311a291
14adc6c
15851c0
hex67188

422280 has 128 divisors (see below), whose sum is σ = 1555200. Its totient is φ = 101376.

The previous prime is 422267. The next prime is 422287. The reversal of 422280 is 82224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (422287) 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, 18349 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2422280 is an apocalyptic number.

422280 is a gapful number since it is divisible by the number (40) 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 422280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600).

422280 is an abundant number, since it is smaller than the sum of its proper divisors (1132920).

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

422280 is a wasteful number, since it uses less digits than its factorization.

422280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 422280 is about 649.8307471950. The cubic root of 422280 is about 75.0239923241.

The spelling of 422280 in words is "four hundred twenty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 23 24 27 30 34 36 40 45 46 51 54 60 68 69 72 85 90 92 102 108 115 120 135 136 138 153 170 180 184 204 207 216 230 255 270 276 306 340 345 360 391 408 414 459 460 510 540 552 612 621 680 690 765 782 828 918 920 1020 1035 1080 1173 1224 1242 1380 1530 1564 1656 1836 1955 2040 2070 2295 2346 2484 2760 3060 3105 3128 3519 3672 3910 4140 4590 4692 4968 5865 6120 6210 7038 7820 8280 9180 9384 10557 11730 12420 14076 15640 17595 18360 21114 23460 24840 28152 35190 42228 46920 52785 70380 84456 105570 140760 211140 422280