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422652120 = 2335111991609
BaseRepresentation
bin11001001100010…
…010100011011000
31002110021221201020
4121030102203120
51331144331440
6105534522440
713321324632
oct3114224330
91073257636
10422652120
111a7637880
12b9666420
1369742c17
14401bda52
152718a3d0
hex193128d8

422652120 has 128 divisors (see below), whose sum is σ = 1391040000. Its totient is φ = 101882880.

The previous prime is 422652107. The next prime is 422652127. The reversal of 422652120 is 21256224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422652127) 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, 261876 + ... + 263484.

It is an arithmetic number, because the mean of its divisors is an integer number (10867500).

Almost surely, 2422652120 is an apocalyptic number.

422652120 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 422652120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695520000).

422652120 is an abundant number, since it is smaller than the sum of its proper divisors (968387880).

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

422652120 is a wasteful number, since it uses less digits than its factorization.

422652120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 422652120 is about 20558.5048094457. The cubic root of 422652120 is about 750.4602330785.

The spelling of 422652120 in words is "four hundred twenty-two million, six hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 199 220 264 330 398 440 597 660 796 995 1194 1320 1592 1609 1990 2189 2388 2985 3218 3980 4378 4776 4827 5970 6436 6567 7960 8045 8756 9654 10945 11940 12872 13134 16090 17512 17699 19308 21890 23880 24135 26268 32180 32835 35398 38616 43780 48270 52536 53097 64360 65670 70796 87560 88495 96540 106194 131340 141592 176990 193080 212388 262680 265485 320191 353980 424776 530970 640382 707960 960573 1061940 1280764 1600955 1921146 2123880 2561528 3201910 3522101 3842292 4802865 6403820 7044202 7684584 9605730 10566303 12807640 14088404 17610505 19211460 21132606 28176808 35221010 38422920 42265212 52831515 70442020 84530424 105663030 140884040 211326060 422652120