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232214542531312 = 241124124112139007
BaseRepresentation
bin110100110011001010101001…
…010100011011101011110000
31010110012111022201210111010211
4310303022221110123223300
5220414100340342000222
62141513515500433504
766624642560651425
oct6463125124335360
91113174281714124
10232214542531312
1167a996a8490400
1222064898548894
139c759780b7373
14414b35b0c1d4c
151bca676d68277
hexd332a951baf0

232214542531312 has 120 divisors (see below), whose sum is σ = 508699357157376. Its totient is φ = 102550322688000.

The previous prime is 232214542531303. The next prime is 232214542531351. The reversal of 232214542531312 is 213135245412232.

232214542531312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13060113 + ... + 25199119.

Almost surely, 2232214542531312 is an apocalyptic number.

232214542531312 is a gapful number since it is divisible by the number (22) 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 232214542531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254349678578688).

232214542531312 is an abundant number, since it is smaller than the sum of its proper divisors (276484814626064).

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

232214542531312 is a wasteful number, since it uses less digits than its factorization.

232214542531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12139319 (or 12139302 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

Adding to 232214542531312 its reverse (213135245412232), we get a palindrome (445349787943544).

The spelling of 232214542531312 in words is "two hundred thirty-two trillion, two hundred fourteen billion, five hundred forty-two million, five hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 121 164 176 241 242 328 451 482 484 656 902 964 968 1804 1928 1936 2651 3608 3856 4961 5302 7216 9881 9922 10604 19762 19844 21208 29161 39524 39688 42416 58322 79048 79376 108691 116644 158096 217382 233288 434764 466576 869528 1195601 1739056 2391202 4782404 9564808 12139007 19129616 24278014 48556028 97112056 133529077 194224112 267058154 497699287 534116308 995398574 1068232616 1468819847 1990797148 2136465232 2925500687 2937639694 3981594296 5474692157 5851001374 5875279388 7963188592 10949384314 11702002748 11750558776 21898768628 23404005496 23501117552 32180507557 43797537256 46808010992 60221613727 64361015114 87595074512 119945528167 120443227454 128722030228 239891056334 240886454908 257444060456 353985583127 479782112668 481772909816 514888120912 707971166254 959564225336 963545819632 1319400809837 1415942332508 1919128450672 2638801619674 2831884665016 5277603239348 5663769330032 10555206478696 14513408908207 21110412957392 29026817816414 58053635632828 116107271265656 232214542531312