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229841352 = 23321331453
BaseRepresentation
bin11011011001100…
…01100111001000
3121000111011001200
431230301213020
5432314410402
634450144200
75460422256
oct1554614710
9530434050
10229841352
11108815234
1264b82060
1338805000
142274d5d6
15152a121c
hexdb319c8

229841352 has 96 divisors (see below), whose sum is σ = 674801400. Its totient is φ = 70671744.

The previous prime is 229841341. The next prime is 229841363. The reversal of 229841352 is 253148922.

It is a happy number.

229841352 is a `hidden beast` number, since 229 + 84 + 1 + 352 = 666.

229841352 is digitally balanced in base 2, 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 (229841341) and next prime (229841363).

It can be written as a sum of positive squares in 4 ways, for example, as 55442916 + 174398436 = 7446^2 + 13206^2 .

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, 157458 + ... + 158910.

Almost surely, 2229841352 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 229841352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337400700).

229841352 is an abundant number, since it is smaller than the sum of its proper divisors (444960048).

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

229841352 is a wasteful number, since it uses less digits than its factorization.

229841352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1471 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 229841352 is about 15160.5195161643. The cubic root of 229841352 is about 612.5516620036.

It can be divided in two parts, 22984 and 1352, that added together give a square (24336 = 1562).

The spelling of 229841352 in words is "two hundred twenty-nine million, eight hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1453 1521 2028 2197 2906 3042 4056 4359 4394 5812 6084 6591 8718 8788 11624 12168 13077 13182 17436 17576 18889 19773 26154 26364 34872 37778 39546 52308 52728 56667 75556 79092 104616 113334 151112 158184 170001 226668 245557 340002 453336 491114 680004 736671 982228 1360008 1473342 1964456 2210013 2946684 3192241 4420026 5893368 6384482 8840052 9576723 12768964 17680104 19153446 25537928 28730169 38306892 57460338 76613784 114920676 229841352