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422670640 = 2457412449
BaseRepresentation
bin11001001100010…
…111000100110000
31002110022220010011
4121030113010300
51331200430030
6105535144304
713321432630
oct3114270460
91073286104
10422670640
111a764a787
12b9675094
136974b492
14401c66c0
1527190b2a
hex19317130

422670640 has 120 divisors (see below), whose sum is σ = 1153720800. Its totient is φ = 141066240.

The previous prime is 422670629. The next prime is 422670653. The reversal of 422670640 is 46076224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941136 + ... + 941584.

It is an arithmetic number, because the mean of its divisors is an integer number (9614340).

Almost surely, 2422670640 is an apocalyptic number.

422670640 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 422670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576860400).

422670640 is an abundant number, since it is smaller than the sum of its proper divisors (731050160).

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

422670640 is a wasteful number, since it uses less digits than its factorization.

422670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 422670640 is about 20558.9552263728. The cubic root of 422670640 is about 750.4711942763.

The spelling of 422670640 in words is "four hundred twenty-two million, six hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 449 560 574 656 820 898 1148 1435 1640 1681 1796 2245 2296 2870 3143 3280 3362 3592 4490 4592 5740 6286 6724 7184 8405 8980 11480 11767 12572 13448 15715 16810 17960 18409 22960 23534 25144 26896 31430 33620 35920 36818 47068 50288 58835 62860 67240 73636 92045 94136 117670 125720 128863 134480 147272 184090 188272 235340 251440 257726 294544 368180 470680 515452 644315 736360 754769 941360 1030904 1288630 1472720 1509538 2061808 2577260 3019076 3773845 5154520 5283383 6038152 7547690 10309040 10566766 12076304 15095380 21133532 26416915 30190760 42267064 52833830 60381520 84534128 105667660 211335320 422670640