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229224168 = 23343111411
BaseRepresentation
bin11011010100110…
…10111011101000
3120222022210110000
431222122323220
5432140133133
634425023000
75452242015
oct1552327350
9528283400
10229224168
11108433568
1264924a60
133864a104
142262c70c
15151cd413
hexda9aee8

229224168 has 80 divisors (see below), whose sum is σ = 662808960. Its totient is φ = 73936800.

The previous prime is 229224167. The next prime is 229224173. The reversal of 229224168 is 861422922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (229224167) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14383 + ... + 25793.

It is an arithmetic number, because the mean of its divisors is an integer number (8285112).

Almost surely, 2229224168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229224168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331404480).

229224168 is an abundant number, since it is smaller than the sum of its proper divisors (433584792).

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

229224168 is a wasteful number, since it uses less digits than its factorization.

229224168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11460 (or 11447 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 229224168 is about 15140.1508579010. The cubic root of 229224168 is about 612.0028834928.

The spelling of 229224168 in words is "two hundred twenty-nine million, two hundred twenty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 11411 20088 22822 34233 45644 68466 91288 102699 136932 205398 273864 308097 353741 410796 616194 707482 821592 924291 1061223 1232388 1414964 1848582 2122446 2464776 2829928 3183669 3697164 4244892 6367338 7394328 8489784 9551007 12734676 19102014 25469352 28653021 38204028 57306042 76408056 114612084 229224168