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229301940 = 223574191303
BaseRepresentation
bin11011010101011…
…01111010110100
3120222110202010110
431222231322310
5432200130230
634430423020
75453014530
oct1552557264
9528422113
10229301940
11108486a3a
1264961a70
133867662a
142264cbc0
15151e64b0
hexdaadeb4

229301940 has 96 divisors (see below), whose sum is σ = 736081920. Its totient is φ = 52246656.

The previous prime is 229301923. The next prime is 229301957. The reversal of 229301940 is 49103922.

229301940 is digitally balanced in base 3, 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 (229301923) and next prime (229301957).

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

It is a junction number, because it is equal to n+sod(n) for n = 229301898 and 229301907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175329 + ... + 176631.

It is an arithmetic number, because the mean of its divisors is an integer number (7667520).

Almost surely, 2229301940 is an apocalyptic number.

229301940 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 229301940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368040960).

229301940 is an abundant number, since it is smaller than the sum of its proper divisors (506779980).

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

229301940 is a wasteful number, since it uses less digits than its factorization.

229301940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 229301940 is about 15142.7190424970. The cubic root of 229301940 is about 612.0720898462.

The spelling of 229301940 in words is "two hundred twenty-nine million, three hundred one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 419 420 838 1257 1303 1676 2095 2514 2606 2933 3909 4190 5028 5212 5866 6285 6515 7818 8380 8799 9121 11732 12570 13030 14665 15636 17598 18242 19545 25140 26060 27363 29330 35196 36484 39090 43995 45605 54726 58660 78180 87990 91210 109452 136815 175980 182420 273630 545957 547260 1091914 1637871 2183828 2729785 3275742 3821699 5459570 6551484 7643398 8189355 10919140 11465097 15286796 16378710 19108495 22930194 32757420 38216990 45860388 57325485 76433980 114650970 229301940