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229229400 = 23352834603
BaseRepresentation
bin11011010100111…
…00001101011000
3120222100001121210
431222130031120
5432140320100
634425103120
75452263201
oct1552341530
9528301553
10229229400
11108437494
1264927aa0
133864c5ca
14226305a8
15151cec50
hexda9c358

229229400 has 96 divisors (see below), whose sum is σ = 719328960. Its totient is φ = 60378240.

The previous prime is 229229389. The next prime is 229229419. The reversal of 229229400 is 4922922.

229229400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2292294002 = 105092235648720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 47499 + ... + 52101.

It is an arithmetic number, because the mean of its divisors is an integer number (7493010).

Almost surely, 2229229400 is an apocalyptic number.

229229400 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 229229400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359664480).

229229400 is an abundant number, since it is smaller than the sum of its proper divisors (490099560).

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

229229400 is a wasteful number, since it uses less digits than its factorization.

229229400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4705 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 229229400 is about 15140.3236425117. The cubic root of 229229400 is about 612.0075397422.

The spelling of 229229400 in words is "two hundred twenty-nine million, two hundred twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 150 166 200 249 300 332 415 498 600 664 830 996 1245 1660 1992 2075 2490 3320 4150 4603 4980 6225 8300 9206 9960 12450 13809 16600 18412 23015 24900 27618 36824 46030 49800 55236 69045 92060 110472 115075 138090 184120 230150 276180 345225 382049 460300 552360 690450 764098 920600 1146147 1380900 1528196 1910245 2292294 2761800 3056392 3820490 4584588 5730735 7640980 9169176 9551225 11461470 15281960 19102450 22922940 28653675 38204900 45845880 57307350 76409800 114614700 229229400