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229471164 = 2233131371193
BaseRepresentation
bin11011010110101…
…11001110111100
3120222210100021000
431223113032330
5432221034124
634434210300
75454321066
oct1553271674
9528710230
10229471164
1110859209a
1264a23990
1338705670
1422694736
151522b6c9
hexdad73bc

229471164 has 96 divisors (see below), whose sum is σ = 645906240. Its totient is φ = 70032384.

The previous prime is 229471163. The next prime is 229471199. The reversal of 229471164 is 461174922.

It is a happy number.

229471164 is a `hidden beast` number, since 2 + 29 + 471 + 164 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229471163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191752 + ... + 192944.

It is an arithmetic number, because the mean of its divisors is an integer number (6728190).

Almost surely, 2229471164 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 229471164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322953120).

229471164 is an abundant number, since it is smaller than the sum of its proper divisors (416435076).

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

229471164 is a wasteful number, since it uses less digits than its factorization.

229471164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1348 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 229471164 is about 15148.3056478274. The cubic root of 229471164 is about 612.2226218156. Note that the first 3 decimals are identical.

The spelling of 229471164 in words is "two hundred twenty-nine million, four hundred seventy-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 137 156 234 274 351 411 468 548 702 822 1193 1233 1404 1644 1781 2386 2466 3562 3579 3699 4772 4932 5343 7124 7158 7398 10686 10737 14316 14796 15509 16029 21372 21474 31018 32058 32211 42948 46527 48087 62036 64116 64422 93054 96174 128844 139581 163441 186108 192348 279162 326882 418743 490323 558324 653764 837486 980646 1470969 1674972 1961292 2124733 2941938 4249466 4412907 5883876 6374199 8498932 8825814 12748398 17651628 19122597 25496796 38245194 57367791 76490388 114735582 229471164