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2290553200 = 2452131393169
BaseRepresentation
bin1000100010000111…
…0001000101110000
312220122002011021201
42020201301011300
514142340200300
61015142300544
7110522244445
oct21041610560
95818064251
102290553200
11a75a59581
1253b127754
132a6718330
1417a2cd9cc
15d615766a
hex88871170

2290553200 has 120 divisors (see below), whose sum is σ = 5970885200. Its totient is φ = 839393280.

The previous prime is 2290553159. The next prime is 2290553257. The reversal of 2290553200 is 23550922.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721216 + ... + 724384.

Almost surely, 22290553200 is an apocalyptic number.

2290553200 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 2290553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985442600).

2290553200 is an abundant number, since it is smaller than the sum of its proper divisors (3680332000).

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

2290553200 is a wasteful number, since it uses less digits than its factorization.

2290553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3339 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2290553200 is about 47859.7241947757. The cubic root of 2290553200 is about 1318.1964195695.

The spelling of 2290553200 in words is "two billion, two hundred ninety million, five hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 139 200 208 260 278 325 400 520 556 650 695 1040 1112 1300 1390 1807 2224 2600 2780 3169 3475 3614 5200 5560 6338 6950 7228 9035 11120 12676 13900 14456 15845 18070 25352 27800 28912 31690 36140 41197 45175 50704 55600 63380 72280 79225 82394 90350 126760 144560 158450 164788 180700 205985 253520 316900 329576 361400 411970 440491 633800 659152 722800 823940 880982 1029925 1267600 1647880 1761964 2059850 2202455 3295760 3523928 4119700 4404910 5726383 7047856 8239400 8809820 11012275 11452766 16478800 17619640 22024550 22905532 28631915 35239280 44049100 45811064 57263830 88098200 91622128 114527660 143159575 176196400 229055320 286319150 458110640 572638300 1145276600 2290553200