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422024240 = 245112329719
BaseRepresentation
bin11001001001111…
…001010000110000
31002102010001102102
4121021321100300
51331014233430
6105513235532
713313101241
oct3111712060
91072101372
10422024240
111a7249070
12b9402ba8
13695831b1
1440098cc8
15270b4345
hex19279430

422024240 has 160 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 141532160.

The previous prime is 422024209. The next prime is 422024243. The reversal of 422024240 is 42420224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (422024243) 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, 586601 + ... + 587319.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2422024240 is an apocalyptic number.

422024240 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 422024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

422024240 is an abundant number, since it is smaller than the sum of its proper divisors (735044560).

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

422024240 is a wasteful number, since it uses less digits than its factorization.

422024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 422024240 is about 20543.2285680708. The cubic root of 422024240 is about 750.0884280921.

Adding to 422024240 its reverse (42420224), we get a palindrome (464444464).

The spelling of 422024240 in words is "four hundred twenty-two million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 29 40 44 46 55 58 80 88 92 110 115 116 145 176 184 220 230 232 253 290 319 368 440 460 464 506 580 638 667 719 880 920 1012 1160 1265 1276 1334 1438 1595 1840 2024 2320 2530 2552 2668 2876 3190 3335 3595 4048 5060 5104 5336 5752 6380 6670 7190 7337 7909 10120 10672 11504 12760 13340 14380 14674 15818 16537 20240 20851 25520 26680 28760 29348 31636 33074 36685 39545 41702 53360 57520 58696 63272 66148 73370 79090 82685 83404 104255 117392 126544 132296 146740 158180 165370 166808 181907 208510 229361 264592 293480 316360 330740 333616 363814 417020 458722 479573 586960 632720 661480 727628 834040 909535 917444 959146 1146805 1322960 1455256 1668080 1819070 1834888 1918292 2293610 2397865 2910512 3638140 3669776 3836584 4587220 4795730 5275303 7276280 7673168 9174440 9591460 10550606 14552560 18348880 19182920 21101212 26376515 38365840 42202424 52753030 84404848 105506060 211012120 422024240