Search a number
-
+
227645789120 = 2654171244381
BaseRepresentation
bin1101010000000010111…
…1110001001111000000
3210202121000201021122222
43110000233301033000
512212204310222440
6252325023150212
722306163165201
oct3240057611700
9722530637588
10227645789120
11885a9127802
1238152145368
131860ba3b189
14b0379c95a8
155dc556e2b5
hex3500bf13c0

227645789120 has 112 divisors (see below), whose sum is σ = 563126510016. Its totient is φ = 87585792000.

The previous prime is 227645789101. The next prime is 227645789123. The reversal of 227645789120 is 21987546722.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227645789123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 809330 + ... + 1053710.

It is an arithmetic number, because the mean of its divisors is an integer number (5027915268).

Almost surely, 2227645789120 is an apocalyptic number.

227645789120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227645789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281563255008).

227645789120 is an abundant number, since it is smaller than the sum of its proper divisors (335480720896).

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

227645789120 is a wasteful number, since it uses less digits than its factorization.

227645789120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244510 (or 244500 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 53.

The spelling of 227645789120 in words is "two hundred twenty-seven billion, six hundred forty-five million, seven hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 71 80 82 142 160 164 205 284 320 328 355 410 568 656 710 820 1136 1312 1420 1640 2272 2624 2840 2911 3280 4544 5680 5822 6560 11360 11644 13120 14555 22720 23288 29110 46576 58220 93152 116440 186304 232880 244381 465760 488762 931520 977524 1221905 1955048 2443810 3910096 4887620 7820192 9775240 10019621 15640384 17351051 19550480 20039242 34702102 39100960 40078484 50098105 69404204 78201920 80156968 86755255 100196210 138808408 160313936 173510510 200392420 277616816 320627872 347021020 400784840 555233632 641255744 694042040 711393091 801569680 1110467264 1388084080 1422786182 1603139360 2776168160 2845572364 3206278720 3556965455 5552336320 5691144728 7113930910 11382289456 14227861820 22764578912 28455723640 45529157824 56911447280 113822894560 227645789120