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229406570680 = 23571675478969
BaseRepresentation
bin1101010110100110110…
…0100111100010111000
3210221010201221020212211
43111221230213202320
512224311040230210
6253215442544504
722400623451140
oct3255154474270
9727121836784
10229406570680
1189322034a81
1238563968134
131882c779361
14b1637b3920
155e79e2c38a
hex3569b278b8

229406570680 has 128 divisors (see below), whose sum is σ = 594586137600. Its totient is φ = 78031070208.

The previous prime is 229406570671. The next prime is 229406570683. The reversal of 229406570680 is 86075604922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229406570683) 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, 25573236 + ... + 25582204.

It is an arithmetic number, because the mean of its divisors is an integer number (4645204200).

Almost surely, 2229406570680 is an apocalyptic number.

229406570680 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 229406570680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297293068800).

229406570680 is an abundant number, since it is smaller than the sum of its proper divisors (365179566920).

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

229406570680 is a wasteful number, since it uses less digits than its factorization.

229406570680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9701 (or 9697 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 229406570680 in words is "two hundred twenty-nine billion, four hundred six million, five hundred seventy thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 334 547 668 835 1094 1169 1336 1670 2188 2338 2735 3340 3829 4376 4676 5470 5845 6680 7658 8969 9352 10940 11690 15316 17938 19145 21880 23380 30632 35876 38290 44845 46760 62783 71752 76580 89690 91349 125566 153160 179380 182698 251132 313915 358760 365396 456745 502264 627830 639443 730792 913490 1255660 1278886 1497823 1826980 2511320 2557772 2995646 3197215 3653960 4906043 5115544 5991292 6394430 7489115 9812086 10484761 11982584 12788860 14978230 19624172 20969522 24530215 25577720 29956460 34342301 39248344 41939044 49060430 52423805 59912920 68684602 83878088 98120860 104847610 137369204 171711505 196241720 209695220 274738408 343423010 419390440 686846020 819309181 1373692040 1638618362 3277236724 4096545905 5735164267 6554473448 8193091810 11470328534 16386183620 22940657068 28675821335 32772367240 45881314136 57351642670 114703285340 229406570680