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10146223540 = 22553149227283
BaseRepresentation
bin10010111001100001…
…10001010110110100
3222012002220120010001
421130300301112310
5131234413123130
64354444441044
7506301322435
oct113460612664
928162816101
1010146223540
114337307a12
121b71b49184
13c5909648b
146c374748c
153e5b436ca
hex25cc315b4

10146223540 has 96 divisors (see below), whose sum is σ = 22028630400. Its totient is φ = 3923851776.

The previous prime is 10146223489. The next prime is 10146223553. The reversal of 10146223540 is 4532264101.

It is a junction number, because it is equal to n+sod(n) for n = 10146223499 and 10146223508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35852239 + ... + 35852521.

It is an arithmetic number, because the mean of its divisors is an integer number (229464900).

Almost surely, 210146223540 is an apocalyptic number.

10146223540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10146223540 is an abundant number, since it is smaller than the sum of its proper divisors (11882406860).

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

10146223540 is a wasteful number, since it uses less digits than its factorization.

10146223540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 10146223540 its reverse (4532264101), we get a palindrome (14678487641).

The spelling of 10146223540 in words is "ten billion, one hundred forty-six million, two hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 53 106 149 212 227 265 283 298 454 530 566 596 745 908 1060 1132 1135 1415 1490 2270 2830 2980 4540 5660 7897 12031 14999 15794 24062 29998 31588 33823 39485 42167 48124 59996 60155 64241 67646 74995 78970 84334 120310 128482 135292 149990 157940 168668 169115 210835 240620 256964 299980 321205 338230 421670 642410 676460 843340 1284820 1792619 2234851 3404773 3585238 4469702 6809546 7170476 8939404 8963095 9571909 11174255 13619092 17023865 17926190 19143818 22348510 34047730 35852380 38287636 44697020 47859545 68095460 95719090 191438180 507311177 1014622354 2029244708 2536555885 5073111770 10146223540