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229770 = 23352337
BaseRepresentation
bin111000000110001010
3102200012000
4320012022
524323040
64531430
71644612
oct700612
9380160
10229770
111476a2
12b0b76
1380778
145da42
1548130
hex3818a

229770 has 64 divisors (see below), whose sum is σ = 656640. Its totient is φ = 57024.

The previous prime is 229769. The next prime is 229771. The reversal of 229770 is 77922.

It is an interprime number because it is at equal distance from previous prime (229769) and next prime (229771).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6192 + ... + 6228.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2229770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320).

229770 is an abundant number, since it is smaller than the sum of its proper divisors (426870).

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

229770 is a wasteful number, since it uses less digits than its factorization.

229770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 229770 is about 479.3433007772. The cubic root of 229770 is about 61.2488268552.

It can be divided in two parts, 229 and 770, that added together give a palindrome (999).

The spelling of 229770 in words is "two hundred twenty-nine thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1998 2070 2553 3105 3330 4255 4995 5106 6210 7659 8510 9990 12765 15318 22977 25530 38295 45954 76590 114885 229770