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412020224 = 2972111493
BaseRepresentation
bin11000100011101…
…110111000000000
31001201021210111022
4120203232320000
51320434121344
6104515005012
713132054100
oct3043567000
91051253438
10412020224
111a1635990
12b5b99768
136748c865
143ca13200
152628a0ee
hex188eee00

412020224 has 120 divisors (see below), whose sum is σ = 1045399608. Its totient is φ = 160419840.

The previous prime is 412020223. The next prime is 412020233. The reversal of 412020224 is 422020214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412020223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275222 + ... + 276714.

Almost surely, 2412020224 is an apocalyptic number.

412020224 is a gapful number since it is divisible by the number (44) 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 412020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522699804).

412020224 is an abundant number, since it is smaller than the sum of its proper divisors (633379384).

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

412020224 is a wasteful number, since it uses less digits than its factorization.

412020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 412020224 is about 20298.2813065540. The cubic root of 412020224 is about 744.1140612115.

Adding to 412020224 its reverse (422020214), we get a palindrome (834040438).

The spelling of 412020224 in words is "four hundred twelve million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 512 539 616 704 784 896 1078 1232 1408 1493 1568 1792 2156 2464 2816 2986 3136 3584 4312 4928 5632 5972 6272 8624 9856 10451 11944 12544 16423 17248 19712 20902 23888 25088 32846 34496 39424 41804 47776 65692 68992 73157 83608 95552 114961 131384 137984 146314 167216 191104 229922 262768 275968 292628 334432 382208 459844 525536 585256 668864 764416 804727 919688 1051072 1170512 1337728 1609454 1839376 2102144 2341024 2675456 3218908 3678752 4204288 4682048 5350912 6437816 7357504 8408576 9364096 12875632 14715008 18728192 25751264 29430016 37456384 51502528 58860032 103005056 206010112 412020224