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229035564 = 223223318923
BaseRepresentation
bin11011010011011…
…00111000101100
3120221222012201200
431221230320230
5432113114224
634421005500
75450525112
oct1551547054
9527865650
10229035564
1110831489a
1264853890
13385b2304
14225bdab2
15151925c9
hexda6ce2c

229035564 has 72 divisors (see below), whose sum is σ = 623680512. Its totient is φ = 70662240.

The previous prime is 229035551. The next prime is 229035589. The reversal of 229035564 is 465530922.

229035564 is a `hidden beast` number, since 2 + 2 + 90 + 3 + 5 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 21207 + ... + 30129.

Almost surely, 2229035564 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 229035564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311840256).

229035564 is an abundant number, since it is smaller than the sum of its proper divisors (394644948).

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

229035564 is a wasteful number, since it uses less digits than its factorization.

229035564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8987 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 229035564 is about 15133.9209724380. The cubic root of 229035564 is about 611.8349869098.

The spelling of 229035564 in words is "two hundred twenty-nine million, thirty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 558 713 828 1116 1426 2139 2852 4278 6417 8556 8923 12834 17846 25668 26769 35692 53538 80307 107076 160614 205229 276613 321228 410458 553226 615687 820916 829839 1106452 1231374 1659678 1847061 2462748 2489517 3319356 3694122 4979034 6362099 7388244 9958068 12724198 19086297 25448396 38172594 57258891 76345188 114517782 229035564