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229550976 = 2733127523
BaseRepresentation
bin11011010111010…
…10101110000000
3120222221101202000
431223222232000
5432231112401
634440024000
75455102554
oct1553525600
9528841660
10229550976
11108637056
1264a62000
1338732aa5
14226b5864
1515245186
hexdaeab80

229550976 has 128 divisors (see below), whose sum is σ = 684134400. Its totient is φ = 75769344.

The previous prime is 229550969. The next prime is 229550987. The reversal of 229550976 is 679055922.

229550976 is a `hidden beast` number, since 2 + 2 + 9 + 550 + 97 + 6 = 666.

229550976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438651 + ... + 439173.

It is an arithmetic number, because the mean of its divisors is an integer number (5344800).

Almost surely, 2229550976 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 229550976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342067200).

229550976 is an abundant number, since it is smaller than the sum of its proper divisors (454583424).

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

229550976 is a wasteful number, since it uses less digits than its factorization.

229550976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 229550976 is about 15150.9397728326. The cubic root of 229550976 is about 612.2935923132.

The spelling of 229550976 in words is "two hundred twenty-nine million, five hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 523 576 762 864 1016 1046 1143 1152 1524 1569 1728 2032 2092 2286 3048 3138 3429 3456 4064 4184 4572 4707 6096 6276 6858 8128 8368 9144 9414 12192 12552 13716 14121 16256 16736 18288 18828 24384 25104 27432 28242 33472 36576 37656 48768 50208 54864 56484 66421 66944 73152 75312 100416 109728 112968 132842 146304 150624 199263 200832 219456 225936 265684 301248 398526 438912 451872 531368 597789 602496 797052 903744 1062736 1195578 1594104 1793367 1807488 2125472 2391156 3188208 3586734 4250944 4782312 6376416 7173468 8501888 9564624 12752832 14346936 19129248 25505664 28693872 38258496 57387744 76516992 114775488 229550976