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223449800 = 2352721512
BaseRepresentation
bin11010101000110…
…01001011001000
3120120110102111112
431110121023020
5424200343200
634101145452
75352202100
oct1524311310
9516412445
10223449800
1110514a162
12629bb288
13373a7a22
1421968200
151493c535
hexd5192c8

223449800 has 108 divisors (see below), whose sum is σ = 608369265. Its totient is φ = 76104000.

The previous prime is 223449799. The next prime is 223449839. The reversal of 223449800 is 8944322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 218980804 + 4468996 = 14798^2 + 2114^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10570.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1479725 + ... + 1479875.

Almost surely, 2223449800 is an apocalyptic number.

223449800 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 223449800

223449800 is an abundant number, since it is smaller than the sum of its proper divisors (384919465).

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

223449800 is a wasteful number, since it uses less digits than its factorization.

223449800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 223449800 is about 14948.2373542836. The cubic root of 223449800 is about 606.8201452581.

Multiplying 223449800 by its sum of digits (32), we get a square (7150393600 = 845602).

The spelling of 223449800 in words is "two hundred twenty-three million, four hundred forty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 151 175 196 200 245 280 302 350 392 490 604 700 755 980 1057 1208 1225 1400 1510 1960 2114 2450 3020 3775 4228 4900 5285 6040 7399 7550 8456 9800 10570 14798 15100 21140 22801 26425 29596 30200 36995 42280 45602 52850 59192 73990 91204 105700 114005 147980 159607 182408 184975 211400 228010 295960 319214 369950 456020 570025 638428 739900 798035 912040 1117249 1140050 1276856 1479800 1596070 2234498 2280100 3192140 3990175 4468996 4560200 5586245 6384280 7980350 8937992 11172490 15960700 22344980 27931225 31921400 44689960 55862450 111724900 223449800