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2422464 = 263113137
BaseRepresentation
bin1001001111011011000000
311120001222220
421033123000
51110004324
6123531040
726406402
oct11173300
94501886
102422464
111405040
12989a80
1366a815
14470b72
1532cb79
hex24f6c0

2422464 has 112 divisors (see below), whose sum is σ = 7412736. Its totient is φ = 691200.

The previous prime is 2422463. The next prime is 2422477. The reversal of 2422464 is 4642242.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 218 + 43 + 220 + 220 + 43 + 66 + 47 .

It is not an unprimeable number, because it can be changed into a prime (2422463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65454 + ... + 65490.

22422464 is an apocalyptic number.

2422464 is a gapful number since it is divisible by the number (24) 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 2422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706368).

2422464 is an abundant number, since it is smaller than the sum of its proper divisors (4990272).

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

2422464 is a wasteful number, since it uses less digits than its factorization.

2422464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 2422464 is about 1556.4266767182. The cubic root of 2422464 is about 134.3030196069.

The spelling of 2422464 in words is "two million, four hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 37 44 48 62 64 66 74 88 93 96 111 124 132 148 176 186 192 222 248 264 296 341 352 372 407 444 496 528 592 682 704 744 814 888 992 1023 1056 1147 1184 1221 1364 1488 1628 1776 1984 2046 2112 2294 2368 2442 2728 2976 3256 3441 3552 4092 4588 4884 5456 5952 6512 6882 7104 8184 9176 9768 10912 12617 13024 13764 16368 18352 19536 21824 25234 26048 27528 32736 36704 37851 39072 50468 55056 65472 73408 75702 78144 100936 110112 151404 201872 220224 302808 403744 605616 807488 1211232 2422464