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2202313120 = 25573176203
BaseRepresentation
bin1000001101000100…
…1010000110100000
312200111001002122121
42003101022012200
514002243004440
61002311114024
7105401231650
oct20321120640
95614032577
102202313120
11a3016a497
12515672914
13291361477
1416c6c0360
15cd52734a
hex8344a1a0

2202313120 has 96 divisors (see below), whose sum is σ = 5965964928. Its totient is φ = 752575488.

The previous prime is 2202313117. The next prime is 2202313159. The reversal of 2202313120 is 213132022.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2202313094 and 2202313103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351939 + ... + 358141.

It is an arithmetic number, because the mean of its divisors is an integer number (62145468).

Almost surely, 22202313120 is an apocalyptic number.

2202313120 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 2202313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982982464).

2202313120 is an abundant number, since it is smaller than the sum of its proper divisors (3763651808).

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

2202313120 is a wasteful number, since it uses less digits than its factorization.

2202313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6542 (or 6534 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2202313120 is about 46928.8090622381. The cubic root of 2202313120 is about 1301.0471090230.

Adding to 2202313120 its reverse (213132022), we get a palindrome (2415445142).

The spelling of 2202313120 in words is "two billion, two hundred two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 317 560 634 1120 1268 1585 2219 2536 3170 4438 5072 6203 6340 8876 10144 11095 12406 12680 17752 22190 24812 25360 31015 35504 43421 44380 49624 50720 62030 71008 86842 88760 99248 124060 173684 177520 198496 217105 248120 347368 355040 434210 496240 694736 868420 992480 1389472 1736840 1966351 3473680 3932702 6947360 7865404 9831755 13764457 15730808 19663510 27528914 31461616 39327020 55057828 62923232 68822285 78654040 110115656 137644570 157308080 220231312 275289140 314616160 440462624 550578280 1101156560 2202313120