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220104120 = 23353789557
BaseRepresentation
bin11010001111010…
…00010110111000
3120100011110002110
431013220112320
5422321312440
633501332320
75311565655
oct1507502670
9510143073
10220104120
11103274535
12618670a0
13367a5c32
1421336c2c
15144cb080
hexd1e85b8

220104120 has 128 divisors (see below), whose sum is σ = 687009600. Its totient is φ = 56365056.

The previous prime is 220104119. The next prime is 220104121. The reversal of 220104120 is 21401022.

220104120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220104119) and next prime (220104121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 220104096 and 220104105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220104121) 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, 394882 + ... + 395438.

Almost surely, 2220104120 is an apocalyptic number.

220104120 is a gapful number since it is divisible by the number (20) 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 220104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343504800).

220104120 is an abundant number, since it is smaller than the sum of its proper divisors (466905480).

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

220104120 is a wasteful number, since it uses less digits than its factorization.

220104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220104120 is about 14835.9064434904. The cubic root of 220104120 is about 603.7762939223.

Adding to 220104120 its reverse (21401022), we get a palindrome (241505142).

The spelling of 220104120 in words is "two hundred twenty million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 89 111 120 148 178 185 222 267 296 356 370 444 445 534 555 557 712 740 888 890 1068 1110 1114 1335 1480 1671 1780 2136 2220 2228 2670 2785 3293 3342 3560 4440 4456 5340 5570 6586 6684 8355 9879 10680 11140 13172 13368 16465 16710 19758 20609 22280 26344 32930 33420 39516 41218 49395 49573 61827 65860 66840 79032 82436 98790 99146 103045 123654 131720 148719 164872 197580 198292 206090 247308 247865 297438 309135 395160 396584 412180 494616 495730 594876 618270 743595 824360 991460 1189752 1236540 1487190 1834201 1982920 2473080 2974380 3668402 5502603 5948760 7336804 9171005 11005206 14673608 18342010 22010412 27513015 36684020 44020824 55026030 73368040 110052060 220104120