[go: up one dir, main page]

Search a number
-
+
228910200 = 23352312397
BaseRepresentation
bin11011010010011…
…10010001111000
3120221201211202120
431221032101320
5432100111300
634414201240
75446463451
oct1551162170
9527654676
10228910200
11108239692
12647b3220
133856a22c
142258a128
151516a3a0
hexda4e478

228910200 has 144 divisors (see below), whose sum is σ = 735098040. Its totient is φ = 58924800.

The previous prime is 228910189. The next prime is 228910211. The reversal of 228910200 is 2019822.

228910200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228910189) and next prime (228910211).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 576402 + ... + 576798.

Almost surely, 2228910200 is an apocalyptic number.

228910200 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 228910200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367549020).

228910200 is an abundant number, since it is smaller than the sum of its proper divisors (506187840).

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

228910200 is a wasteful number, since it uses less digits than its factorization.

228910200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 228910200 is about 15129.7785839714. The cubic root of 228910200 is about 611.7233360106.

The spelling of 228910200 in words is "two hundred twenty-eight million, nine hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 31 40 50 60 62 75 93 100 120 124 150 155 186 200 248 300 310 372 397 465 600 620 744 775 794 930 961 1191 1240 1550 1588 1860 1922 1985 2325 2382 2883 3100 3176 3720 3844 3970 4650 4764 4805 5766 5955 6200 7688 7940 9300 9528 9610 9925 11532 11910 12307 14415 15880 18600 19220 19850 23064 23820 24025 24614 28830 29775 36921 38440 39700 47640 48050 49228 57660 59550 61535 72075 73842 79400 96100 98456 115320 119100 123070 144150 147684 184605 192200 238200 246140 288300 295368 307675 369210 381517 492280 576600 615350 738420 763034 923025 1144551 1230700 1476840 1526068 1846050 1907585 2289102 2461400 3052136 3692100 3815170 4578204 5722755 7384200 7630340 9156408 9537925 11445510 15260680 19075850 22891020 28613775 38151700 45782040 57227550 76303400 114455100 228910200