Search a number
-
+
227077968 = 2431319107179
BaseRepresentation
bin11011000100011…
…10111101010000
3120211021202102010
431202032331100
5431112443333
634311022520
75425062615
oct1542167520
9524252363
10227077968
111071a8047
126406aa40
1338078280
142223050c
1514e07563
hexd88ef50

227077968 has 160 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 65207808.

The previous prime is 227077931. The next prime is 227077973. The reversal of 227077968 is 869770722.

227077968 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1268503 + ... + 1268681.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2227077968 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 227077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

227077968 is an abundant number, since it is smaller than the sum of its proper divisors (447878832).

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

227077968 is a wasteful number, since it uses less digits than its factorization.

227077968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 227077968 is about 15069.1064101359. The cubic root of 227077968 is about 610.0868531710.

The spelling of 227077968 in words is "two hundred twenty-seven million, seventy-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 107 114 152 156 179 208 214 228 247 304 312 321 358 428 456 494 537 624 642 716 741 856 912 988 1074 1284 1391 1432 1482 1712 1976 2033 2148 2327 2568 2782 2864 2964 3401 3952 4066 4173 4296 4654 5136 5564 5928 6099 6802 6981 8132 8346 8592 9308 10203 11128 11856 12198 13604 13962 16264 16692 18616 19153 20406 22256 24396 26429 27208 27924 32528 33384 37232 38306 40812 44213 48792 52858 54416 55848 57459 66768 76612 79287 81624 88426 97584 105716 111696 114918 132639 153224 158574 163248 176852 211432 229836 248989 265278 306448 317148 353704 363907 422864 459672 497978 530556 634296 707408 727814 746967 919344 995956 1061112 1091721 1268592 1455628 1493934 1991912 2122224 2183442 2911256 2987868 3983824 4366884 4730791 5822512 5975736 8733768 9461582 11951472 14192373 17467536 18923164 28384746 37846328 56769492 75692656 113538984 227077968