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220601394 = 23413312109
BaseRepresentation
bin11010010011000…
…01110000110010
3120101002201020000
431021201300302
5422433221034
633520130430
75316036516
oct1511416062
9511081200
10220601394
11103584102
1261a66a16
133691b390
1421426146
1514578599
hexd261c32

220601394 has 120 divisors (see below), whose sum is σ = 555106860. Its totient is φ = 65085120.

The previous prime is 220601351. The next prime is 220601411. The reversal of 220601394 is 493106022.

220601394 is a `hidden beast` number, since 2 + 20 + 601 + 39 + 4 = 666.

220601394 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 2 ways, for example, as 218655369 + 1946025 = 14787^2 + 1395^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2023812 + ... + 2023920.

Almost surely, 2220601394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220601394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277553430).

220601394 is an abundant number, since it is smaller than the sum of its proper divisors (334505466).

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

220601394 is a wasteful number, since it uses less digits than its factorization.

220601394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 220601394 is about 14852.6561260941. The cubic root of 220601394 is about 604.2306492323.

The spelling of 220601394 in words is "two hundred twenty million, six hundred one thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 109 117 162 186 218 234 279 327 351 403 558 654 702 806 837 961 981 1053 1209 1417 1674 1922 1962 2106 2418 2511 2834 2883 2943 3379 3627 4251 5022 5766 5886 6758 7254 8502 8649 8829 10137 10881 12493 12753 17298 17658 20274 21762 24986 25506 25947 30411 32643 37479 38259 43927 51894 60822 65286 74958 76518 77841 87854 91233 104749 112437 114777 131781 155682 182466 209498 224874 229554 263562 273699 314247 337311 395343 547398 628494 674622 790686 942741 1011933 1186029 1361737 1885482 2023866 2372058 2723474 2828223 3558087 4085211 5656446 7116174 8170422 8484669 12255633 16969338 24511266 36766899 73533798 110300697 220601394