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23055200 = 2552723179
BaseRepresentation
bin101011111110…
…0101101100000
31121101022210022
41113330231200
521400231300
62142053012
7366652220
oct127745540
947338708
1023055200
1112017793
12787a168
134a12c3c
1430c2080
152056285
hex15fcb60

23055200 has 144 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 7518720.

The previous prime is 23055187. The next prime is 23055229. The reversal of 23055200 is 255032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128711 + ... + 128889.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 223055200 is an apocalyptic number.

23055200 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 23055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33747840).

23055200 is an abundant number, since it is smaller than the sum of its proper divisors (44440480).

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

23055200 is a wasteful number, since it uses less digits than its factorization.

23055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 17.

The square root of 23055200 is about 4801.5830722794. The cubic root of 23055200 is about 284.6140255783.

The spelling of 23055200 in words is "twenty-three million, fifty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 70 80 92 100 112 115 140 160 161 175 179 184 200 224 230 280 322 350 358 368 400 460 560 575 644 700 716 736 800 805 895 920 1120 1150 1253 1288 1400 1432 1610 1790 1840 2300 2506 2576 2800 2864 3220 3580 3680 4025 4117 4475 4600 5012 5152 5600 5728 6265 6440 7160 8050 8234 8950 9200 10024 12530 12880 14320 16100 16468 17900 18400 20048 20585 25060 25760 28640 28819 31325 32200 32936 35800 40096 41170 50120 57638 62650 64400 65872 71600 82340 100240 102925 115276 125300 128800 131744 143200 144095 164680 200480 205850 230552 250600 288190 329360 411700 461104 501200 576380 658720 720475 823400 922208 1002400 1152760 1440950 1646800 2305520 2881900 3293600 4611040 5763800 11527600 23055200