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220674048 = 211372733
BaseRepresentation
bin11010010011100…
…11100000000000
3120101020101212220
431021303200000
5422443032143
633521451040
75316461400
oct1511634000
9511211786
10220674048
11103623751
1261aa0a80
133694547a
1421444800
151458ed83
hexd273800

220674048 has 144 divisors (see below), whose sum is σ = 685306440. Its totient is φ = 62963712.

The previous prime is 220674023. The next prime is 220674053. The reversal of 220674048 is 840476022.

220674048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 300690 + ... + 301422.

Almost surely, 2220674048 is an apocalyptic number.

220674048 is a gapful number since it is divisible by the number (28) 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 220674048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342653220).

220674048 is an abundant number, since it is smaller than the sum of its proper divisors (464632392).

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

220674048 is an equidigital number, since it uses as much as digits as its factorization.

220674048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 220674048 is about 14855.1017499040. The cubic root of 220674048 is about 604.2969754301.

The spelling of 220674048 in words is "two hundred twenty million, six hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 733 768 784 896 1024 1176 1344 1466 1536 1568 1792 2048 2199 2352 2688 2932 3072 3136 3584 4398 4704 5131 5376 5864 6144 6272 7168 8796 9408 10262 10752 11728 12544 14336 15393 17592 18816 20524 21504 23456 25088 30786 35184 35917 37632 41048 43008 46912 50176 61572 70368 71834 75264 82096 93824 100352 107751 123144 140736 143668 150528 164192 187648 215502 246288 281472 287336 301056 328384 375296 431004 492576 562944 574672 656768 750592 862008 985152 1125888 1149344 1313536 1501184 1724016 1970304 2251776 2298688 2627072 3448032 3940608 4503552 4597376 5254144 6896064 7881216 9194752 10508288 13792128 15762432 18389504 27584256 31524864 36779008 55168512 73558016 110337024 220674048