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2332004220 = 22325713142369
BaseRepresentation
bin1000101011111111…
…1000111101111100
320000112002002101200
42022333320331330
514233443113340
61023222535500
7111534465060
oct21277707574
96015062350
102332004220
11a973a0317
12550b97590
132b219c470
141819ddaa0
15d9ae4330
hex8aff8f7c

2332004220 has 144 divisors (see below), whose sum is σ = 8706210240. Its totient is φ = 492023808.

The previous prime is 2332004161. The next prime is 2332004221. The reversal of 2332004220 is 224002332.

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 = 2332004193 and 2332004202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2332004221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54805 + ... + 87564.

Almost surely, 22332004220 is an apocalyptic number.

2332004220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2332004220 is an abundant number, since it is smaller than the sum of its proper divisors (6374206020).

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

2332004220 is a wasteful number, since it uses less digits than its factorization.

2332004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142404 (or 142399 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2332004220 is about 48290.8295642144. The cubic root of 2332004220 is about 1326.1005158476.

Adding to 2332004220 its reverse (224002332), we get a palindrome (2556006552).

The spelling of 2332004220 in words is "two billion, three hundred thirty-two million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2730 3276 4095 5460 8190 16380 142369 284738 427107 569476 711845 854214 996583 1281321 1423690 1708428 1850797 1993166 2135535 2562642 2847380 2989749 3701594 3986332 4271070 4982915 5125284 5552391 5979498 6406605 7403188 8542140 8969247 9253985 9965830 11104782 11958996 12813210 12955579 14948745 16657173 17938494 18507970 19931660 22209564 25626420 25911158 27761955 29897490 33314346 35876988 37015940 38866737 44846235 51822316 55523910 59794980 64777895 66628692 77733474 83285865 89692470 111047820 116600211 129555790 155466948 166571730 179384940 194333685 233200422 259111580 333143460 388667370 466400844 583001055 777334740 1166002110 2332004220