[go: up one dir, main page]

Search a number
-
+
122884216 = 237132341179
BaseRepresentation
bin1110101001100…
…01000001111000
322120020011110021
413110301001320
5222424243331
620105500224
73021333010
oct724610170
9276204407
10122884216
1163401804
12351a1674
131c5c6970
141246ac40
15abc5211
hex7531078

122884216 has 128 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 45112320.

The previous prime is 122884199. The next prime is 122884219. The reversal of 122884216 is 612488221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122884219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686415 + ... + 686593.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2122884216 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 122884216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

122884216 is an abundant number, since it is smaller than the sum of its proper divisors (181934984).

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

122884216 is a wasteful number, since it uses less digits than its factorization.

122884216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its digits is 12288, while the sum is 34.

The square root of 122884216 is about 11085.3153315546. The cubic root of 122884216 is about 497.1628866915.

The spelling of 122884216 in words is "one hundred twenty-two million, eight hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 23 26 28 41 46 52 56 82 91 92 104 161 164 179 182 184 287 299 322 328 358 364 533 574 598 644 716 728 943 1066 1148 1196 1253 1288 1432 1886 2093 2132 2296 2327 2392 2506 3731 3772 4117 4186 4264 4654 5012 6601 7339 7462 7544 8234 8372 9308 10024 12259 13202 14678 14924 16289 16468 16744 18616 24518 26404 28819 29356 29848 32578 32936 49036 51373 52808 53521 57638 58712 65156 85813 95407 98072 102746 107042 115276 130312 168797 171626 190814 205492 214084 230552 337594 343252 374647 381628 410984 428168 667849 675188 686504 749294 763256 1181579 1335698 1350376 1498588 2194361 2363158 2671396 2997176 4388722 4726316 5342792 8777444 9452632 15360527 17554888 30721054 61442108 122884216