Search a number
-
+
228944936 = 231173157227
BaseRepresentation
bin11011010010101…
…10110000101000
3120221210121102002
431221112300220
5432102214221
634415030132
75446666643
oct1551266050
9527717362
10228944936
111082627a0
126480b348
133857cc9c
1422598a5a
151517580b
hexda56c28

228944936 has 64 divisors (see below), whose sum is σ = 479839680. Its totient is φ = 101537280.

The previous prime is 228944873. The next prime is 228944941. The reversal of 228944936 is 639449822.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1008455 + ... + 1008681.

It is an arithmetic number, because the mean of its divisors is an integer number (7497495).

Almost surely, 2228944936 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 228944936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239919840).

228944936 is an abundant number, since it is smaller than the sum of its proper divisors (250894744).

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

228944936 is a wasteful number, since it uses less digits than its factorization.

228944936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 228944936 is about 15130.9264752691. The cubic root of 228944936 is about 611.7542764509.

The spelling of 228944936 in words is "two hundred twenty-eight million, nine hundred forty-four thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 22 44 73 88 146 157 227 292 314 454 584 628 803 908 1256 1606 1727 1816 2497 3212 3454 4994 6424 6908 9988 11461 13816 16571 19976 22922 33142 35639 45844 66284 71278 91688 126071 132568 142556 182281 252142 285112 364562 392029 504284 729124 784058 1008568 1458248 1568116 2601647 3136232 5203294 10406588 20813176 28618117 57236234 114472468 228944936