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228534432 = 25372192557
BaseRepresentation
bin11011001111100…
…10100010100000
3120221000202022020
431213302202200
5432001100212
634402141440
75443340100
oct1547624240
9527022266
10228534432
11108002335
1264651880
1338468199
14224cd200
15150e3d8c
hexd9f28a0

228534432 has 144 divisors (see below), whose sum is σ = 734862240. Its totient is φ = 61834752.

The previous prime is 228534419. The next prime is 228534437. The reversal of 228534432 is 234435822.

It is a junction number, because it is equal to n+sod(n) for n = 228534393 and 228534402.

It is not an unprimeable number, because it can be changed into a prime (228534437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88098 + ... + 90654.

It is an arithmetic number, because the mean of its divisors is an integer number (5103210).

Almost surely, 2228534432 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 228534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367431120).

228534432 is an abundant number, since it is smaller than the sum of its proper divisors (506327808).

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

228534432 is a wasteful number, since it uses less digits than its factorization.

228534432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2588 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 228534432 is about 15117.3553242622. The cubic root of 228534432 is about 611.3884274622.

The spelling of 228534432 in words is "two hundred twenty-eight million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2557 2793 3192 3724 4256 4704 5114 5586 6384 7448 7671 10228 11172 12768 14896 15342 17899 20456 22344 29792 30684 35798 40912 44688 48583 53697 61368 71596 81824 89376 97166 107394 122736 125293 143192 145749 194332 214788 245472 250586 286384 291498 340081 375879 388664 429576 501172 572768 582996 680162 751758 777328 859152 1002344 1020243 1165992 1360324 1503516 1554656 1718304 2004688 2040486 2331984 2380567 2720648 3007032 4009376 4080972 4663968 4761134 5441296 6014064 7141701 8161944 9522268 10882592 12028128 14283402 16323888 19044536 28566804 32647776 38089072 57133608 76178144 114267216 228534432