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20223125340 = 22351110922579
BaseRepresentation
bin10010110101011001…
…000110011101011100
31221012101101012200020
4102311121012131130
5312404110002330
613142415432140
71314101505045
oct226531063534
957171335606
1020223125340
118638477430
123b04825650
131ba399aa72
14d9bba78cc
157d5642210
hex4b564675c

20223125340 has 144 divisors (see below), whose sum is σ = 62368548480. Its totient is φ = 4855714560.

The previous prime is 20223125317. The next prime is 20223125347. The reversal of 20223125340 is 4352132202.

It is a self number, because there is not a number n which added to its sum of digits gives 20223125340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20223125347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7840171 + ... + 7842749.

It is an arithmetic number, because the mean of its divisors is an integer number (433114920).

Almost surely, 220223125340 is an apocalyptic number.

20223125340 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 20223125340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31184274240).

20223125340 is an abundant number, since it is smaller than the sum of its proper divisors (42145423140).

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

20223125340 is a wasteful number, since it uses less digits than its factorization.

20223125340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 20223125340 its reverse (4352132202), we get a palindrome (24575257542).

The spelling of 20223125340 in words is "twenty billion, two hundred twenty-three million, one hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 2180 2398 2579 3270 3597 4796 5158 5995 6540 7194 7737 10316 11881 11990 12895 14388 15474 17985 23762 23980 25790 28369 30948 35643 35970 38685 47524 51580 56738 59405 71286 71940 77370 85107 113476 118810 130691 141845 142572 154740 170214 178215 237620 261382 281111 283690 340428 356430 392073 425535 522764 562222 567380 653455 712860 784146 843333 851070 1124444 1306910 1405555 1568292 1686666 1702140 1960365 2613820 2811110 3092221 3373332 3920730 4216665 5622220 6184442 7841460 8433330 9276663 12368884 15461105 16866660 18553326 30641099 30922210 37106652 46383315 61282198 61844420 91923297 92766630 122564396 153205495 183846594 185533260 306410990 337052089 367693188 459616485 612821980 674104178 919232970 1011156267 1348208356 1685260445 1838465940 2022312534 3370520890 4044625068 5055781335 6741041780 10111562670 20223125340