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228227107374 = 23273141234759
BaseRepresentation
bin1101010010001101100…
…1010100101000101110
3210211002112120022101200
43110203121110220232
512214402114413444
6252502430550330
722326452255460
oct3244331245056
9724075508350
10228227107374
1188877285812
12382949683a6
13186a22c5686
14b090cac130
155e0b5eb969
hex3523654a2e

228227107374 has 144 divisors (see below), whose sum is σ = 597956536320. Its totient is φ = 61563369600.

The previous prime is 228227107349. The next prime is 228227107387. The reversal of 228227107374 is 473701722822.

228227107374 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 271 + 0 + 7 + 374 = 666.

228227107374 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2282271073742 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6548607 + ... + 6583365.

Almost surely, 2228227107374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228227107374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298978268160).

228227107374 is an abundant number, since it is smaller than the sum of its proper divisors (369729428946).

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

228227107374 is a wasteful number, since it uses less digits than its factorization.

228227107374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34887 (or 34843 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 228227107374 in words is "two hundred twenty-eight billion, two hundred twenty-seven million, one hundred seven thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 31 41 42 62 63 82 93 123 126 186 217 246 279 287 369 434 558 574 651 738 861 1271 1302 1681 1722 1953 2542 2583 3362 3813 3906 5043 5166 7626 8897 10086 11439 11767 15129 17794 22878 23534 26691 30258 34759 35301 52111 53382 69518 70602 80073 104222 104277 105903 156333 160146 208554 211806 243313 312666 312831 364777 468999 486626 625662 729554 729939 937998 1077529 1094331 1425119 1459878 2155058 2188662 2189817 2850238 3232587 3282993 4275357 4379634 6465174 6565986 7542703 8550714 9697761 9975833 12826071 15085406 19395522 19951666 22628109 25652142 29927499 44178689 45256218 58429879 59854998 67884327 88357378 89782497 116859758 132536067 135768654 175289637 179564994 265072134 309250823 350579274 397608201 409009153 525868911 618501646 795216402 818018306 927752469 1051737822 1227027459 1811326249 1855504938 2454054918 2783257407 3622652498 3681082377 5433978747 5566514814 7362164754 10867957494 12679283743 16301936241 25358567486 32603872482 38037851229 76075702458 114113553687 228227107374