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228834342 = 233112571499
BaseRepresentation
bin11011010001110…
…11110000100110
3120221120222201000
431220323300212
5432040144332
634412414130
75446026342
oct1550736046
9527528630
10228834342
111081976a0
1264777346
1338541849
142256a622
1515152b7c
hexda3bc26

228834342 has 64 divisors (see below), whose sum is σ = 557280000. Its totient is φ = 69027840.

The previous prime is 228834313. The next prime is 228834367. The reversal of 228834342 is 243438822.

It is a happy number.

228834342 is a `hidden beast` number, since 2 + 288 + 34 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 228834297 and 228834306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151909 + ... + 153407.

It is an arithmetic number, because the mean of its divisors is an integer number (8707500).

Almost surely, 2228834342 is an apocalyptic number.

228834342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 228834342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278640000).

228834342 is an abundant number, since it is smaller than the sum of its proper divisors (328445658).

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

228834342 is a wasteful number, since it uses less digits than its factorization.

228834342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1772 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 228834342 is about 15127.2714657998. The cubic root of 228834342 is about 611.6557560372.

It can be divided in two parts, 22883 and 4342, that added together give a square (27225 = 1652).

The spelling of 228834342 in words is "two hundred twenty-eight million, eight hundred thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 257 297 514 594 771 1499 1542 2313 2827 2998 4497 4626 5654 6939 8481 8994 13491 13878 16489 16962 25443 26982 32978 40473 49467 50886 76329 80946 98934 148401 152658 296802 385243 445203 770486 890406 1155729 2311458 3467187 4237673 6934374 8475346 10401561 12713019 20803122 25426038 38139057 76278114 114417171 228834342