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422285400 = 2335528689
BaseRepresentation
bin11001001010111…
…001000001011000
31002102121022200000
4121022321001120
51331101113100
6105523013000
713315236525
oct3112710130
91072538600
10422285400
111a74072a9
12b950a160
1369645024
144012614c
1527116900
hex192b9058

422285400 has 144 divisors (see below), whose sum is σ = 1470869400. Its totient is φ = 112596480.

The previous prime is 422285387. The next prime is 422285401. The reversal of 422285400 is 4582224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422285401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44256 + ... + 52944.

Almost surely, 2422285400 is an apocalyptic number.

422285400 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 422285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735434700).

422285400 is an abundant number, since it is smaller than the sum of its proper divisors (1048584000).

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

422285400 is a wasteful number, since it uses less digits than its factorization.

422285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8720 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 422285400 is about 20549.5839373940. The cubic root of 422285400 is about 750.2431211809.

The spelling of 422285400 in words is "four hundred twenty-two million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 8689 9720 12150 16200 17378 24300 26067 34756 43445 48600 52134 69512 78201 86890 104268 130335 156402 173780 208536 217225 234603 260670 312804 347560 391005 434450 469206 521340 625608 651675 703809 782010 868900 938412 1042680 1173015 1303350 1407618 1564020 1737800 1876824 1955025 2111427 2346030 2606700 2815236 3128040 3519045 3910050 4222854 4692060 5213400 5630472 5865075 7038090 7820100 8445708 9384120 10557135 11730150 14076180 15640200 16891416 17595225 21114270 23460300 28152360 35190450 42228540 46920600 52785675 70380900 84457080 105571350 140761800 211142700 422285400