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228298752 = 2123211563
BaseRepresentation
bin11011001101110…
…01000000000000
3120220120210000100
431212321000000
5431421030002
634353122400
75441336013
oct1546710000
9526523010
10228298752
11107961260
1264559400
13383b4b26
142246b37a
151509911c
hexd9b9000

228298752 has 156 divisors (see below), whose sum is σ = 720676944. Its totient is φ = 69058560.

The previous prime is 228298751. The next prime is 228298771. The reversal of 228298752 is 257892822.

It is a junction number, because it is equal to n+sod(n) for n = 228298698 and 228298707.

It is not an unprimeable number, because it can be changed into a prime (228298751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405223 + ... + 405785.

It is an arithmetic number, because the mean of its divisors is an integer number (4619724).

Almost surely, 2228298752 is an apocalyptic number.

228298752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360338472).

228298752 is an abundant number, since it is smaller than the sum of its proper divisors (492378192).

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

228298752 is a wasteful number, since it uses less digits than its factorization.

228298752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 579 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 228298752 is about 15109.5582993018. The cubic root of 228298752 is about 611.1781869540.

The spelling of 228298752 in words is "two hundred twenty-eight million, two hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 563 576 704 768 792 1024 1056 1126 1152 1408 1536 1584 1689 2048 2112 2252 2304 2816 3072 3168 3378 4096 4224 4504 4608 5067 5632 6144 6193 6336 6756 8448 9008 9216 10134 11264 12288 12386 12672 13512 16896 18016 18432 18579 20268 22528 24772 25344 27024 33792 36032 36864 37158 40536 45056 49544 50688 54048 55737 67584 72064 74316 81072 99088 101376 108096 111474 135168 144128 148632 162144 198176 202752 216192 222948 288256 297264 324288 396352 405504 432384 445896 576512 594528 648576 792704 864768 891792 1153024 1189056 1297152 1585408 1729536 1783584 2306048 2378112 2594304 3170816 3459072 3567168 4756224 5188608 6341632 6918144 7134336 9512448 10377216 12683264 14268672 19024896 20754432 25366528 28537344 38049792 57074688 76099584 114149376 228298752