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220574424 = 233731411033
BaseRepresentation
bin11010010010110…
…11001011011000
3120101001100020010
431021123023120
5422431340144
633515401520
75315565060
oct1511331330
9511040203
10220574424
11103565914
1261a532a0
133690c015
142141a3a0
15145705b9
hexd25b2d8

220574424 has 128 divisors (see below), whose sum is σ = 667054080. Its totient is φ = 59443200.

The previous prime is 220574423. The next prime is 220574441. The reversal of 220574424 is 424475022.

220574424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 220574391 and 220574400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220574423) 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, 213012 + ... + 214044.

It is an arithmetic number, because the mean of its divisors is an integer number (5211360).

Almost surely, 2220574424 is an apocalyptic number.

220574424 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 220574424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333527040).

220574424 is an abundant number, since it is smaller than the sum of its proper divisors (446479656).

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

220574424 is a wasteful number, since it uses less digits than its factorization.

220574424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 220574424 is about 14851.7481799282. The cubic root of 220574424 is about 604.2060244790.

The spelling of 220574424 in words is "two hundred twenty million, five hundred seventy-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 41 42 56 62 82 84 93 123 124 164 168 186 217 246 248 287 328 372 434 492 574 651 744 861 868 984 1033 1148 1271 1302 1722 1736 2066 2296 2542 2604 3099 3444 3813 4132 5084 5208 6198 6888 7231 7626 8264 8897 10168 12396 14462 15252 17794 21693 24792 26691 28924 30504 32023 35588 42353 43386 53382 57848 64046 71176 84706 86772 96069 106764 127059 128092 169412 173544 192138 213528 224161 254118 256184 296471 338824 384276 448322 508236 592942 672483 768552 889413 896644 1016472 1185884 1312943 1344966 1778826 1793288 2371768 2625886 2689932 3557652 3938829 5251772 5379864 7115304 7877658 9190601 10503544 15755316 18381202 27571803 31510632 36762404 55143606 73524808 110287212 220574424