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228454400 = 212522397
BaseRepresentation
bin11011001110111…
…11000000000000
3120220212200112002
431213133000000
5431441020100
634400323132
75442554546
oct1547370000
9526780462
10228454400
11107a58199
12646134a8
133843a925
14224abd96
15150ca2d5
hexd9df000

228454400 has 156 divisors (see below), whose sum is σ = 597222192. Its totient is φ = 86507520.

The previous prime is 228454361. The next prime is 228454409. The reversal of 228454400 is 4454822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228454409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2355152 + ... + 2355248.

Almost surely, 2228454400 is an apocalyptic number.

228454400 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 228454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298611096).

228454400 is an abundant number, since it is smaller than the sum of its proper divisors (368767792).

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

228454400 is an equidigital number, since it uses as much as digits as its factorization.

228454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 228454400 is about 15114.7080686330. The cubic root of 228454400 is about 611.3170503965.

The spelling of 228454400 in words is "two hundred twenty-eight million, four hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 97 100 115 128 160 184 194 200 230 256 320 368 388 400 460 485 512 575 640 736 776 800 920 970 1024 1150 1280 1472 1552 1600 1840 1940 2048 2231 2300 2425 2560 2944 3104 3200 3680 3880 4096 4462 4600 4850 5120 5888 6208 6400 7360 7760 8924 9200 9700 10240 11155 11776 12416 12800 14720 15520 17848 18400 19400 20480 22310 23552 24832 25600 29440 31040 35696 36800 38800 44620 47104 49664 51200 55775 58880 62080 71392 73600 77600 89240 94208 99328 102400 111550 117760 124160 142784 147200 155200 178480 198656 223100 235520 248320 285568 294400 310400 356960 397312 446200 471040 496640 571136 588800 620800 713920 892400 993280 1142272 1177600 1241600 1427840 1784800 1986560 2284544 2355200 2483200 2855680 3569600 4569088 4966400 5711360 7139200 9138176 9932800 11422720 14278400 22845440 28556800 45690880 57113600 114227200 228454400