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412223240 = 2351113193793
BaseRepresentation
bin11000100100100…
…000011100001000
31001201200002222102
4120210200130020
51321012120430
6104523212532
713133561012
oct3044403410
91051602872
10412223240
111a1764470
12b6077148
13675310a0
143ca671b2
15262ca345
hex18920708

412223240 has 128 divisors (see below), whose sum is σ = 1147305600. Its totient is φ = 131051520.

The previous prime is 412223237. The next prime is 412223243. The reversal of 412223240 is 42322214.

It is an interprime number because it is at equal distance from previous prime (412223237) and next prime (412223243).

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 (412223243) 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, 106784 + ... + 110576.

It is an arithmetic number, because the mean of its divisors is an integer number (8963325).

Almost surely, 2412223240 is an apocalyptic number.

412223240 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 412223240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573652800).

412223240 is an abundant number, since it is smaller than the sum of its proper divisors (735082360).

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

412223240 is a wasteful number, since it uses less digits than its factorization.

412223240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 412223240 is about 20303.2815081701. The cubic root of 412223240 is about 744.2362576850.

Adding to 412223240 its reverse (42322214), we get a palindrome (454545454).

The spelling of 412223240 in words is "four hundred twelve million, two hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 19 20 22 26 38 40 44 52 55 65 76 88 95 104 110 130 143 152 190 209 220 247 260 286 380 418 440 494 520 572 715 760 836 988 1045 1144 1235 1430 1672 1976 2090 2470 2717 2860 3793 4180 4940 5434 5720 7586 8360 9880 10868 13585 15172 18965 21736 27170 30344 37930 41723 49309 54340 72067 75860 83446 98618 108680 144134 151720 166892 197236 208615 246545 288268 333784 360335 394472 417230 493090 542399 576536 720670 792737 834460 936871 986180 1084798 1441340 1585474 1668920 1873742 1972360 2169596 2711995 2882680 3170948 3747484 3963685 4339192 4684355 5423990 6341896 7494968 7927370 9368710 10305581 10847980 15854740 18737420 20611162 21695960 31709480 37474840 41222324 51527905 82444648 103055810 206111620 412223240