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20260224 = 273243409
BaseRepresentation
bin100110101001…
…0010110000000
31102010022210200
41031102112000
520141311344
62002125200
7334131465
oct115222600
942108720
1020260224
1110488896
126950800
1342749ca
14299566c
151ba3069
hex1352580

20260224 has 96 divisors (see below), whose sum is σ = 59802600. Its totient is φ = 6580224.

The previous prime is 20260211. The next prime is 20260237. The reversal of 20260224 is 42206202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20260211) and next prime (20260237).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20260197 and 20260206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49332 + ... + 49740.

Almost surely, 220260224 is an apocalyptic number.

20260224 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 20260224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29901300).

20260224 is an abundant number, since it is smaller than the sum of its proper divisors (39542376).

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

20260224 is a wasteful number, since it uses less digits than its factorization.

20260224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 20260224 is about 4501.1358566477. The cubic root of 20260224 is about 272.6139534067.

Adding to 20260224 its reverse (42206202), we get a palindrome (62466426).

The spelling of 20260224 in words is "twenty million, two hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 409 516 576 688 774 818 1032 1152 1227 1376 1548 1636 2064 2454 2752 3096 3272 3681 4128 4908 5504 6192 6544 7362 8256 9816 12384 13088 14724 16512 17587 19632 24768 26176 29448 35174 39264 49536 52352 52761 58896 70348 78528 105522 117792 140696 157056 158283 211044 235584 281392 316566 422088 471168 562784 633132 844176 1125568 1266264 1688352 2251136 2532528 3376704 5065056 6753408 10130112 20260224