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223121304200140 = 225191239902927067
BaseRepresentation
bin110010101110110101111010…
…000101000010001111001100
31002021000012002022121200102121
4302232311322011002033030
5213221104412333401030
62110312302341102324
764665660626311633
oct6256657205021714
91067005068550377
10223121304200140
1165103239508035
12210364a13b79a4
139766330535818
143d151b33b651a
151abdd6cd8e47a
hexcaed7a1423cc

223121304200140 has 96 divisors (see below), whose sum is σ = 473048510054400. Its totient is φ = 88396724532480.

The previous prime is 223121304200089. The next prime is 223121304200161. The reversal of 223121304200140 is 41002403121322.

223121304200140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2231213042001403 (a number of 44 digits) contains 333 as substring.

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, 8243282887 + ... + 8243309953.

It is an arithmetic number, because the mean of its divisors is an integer number (4927588646400).

Almost surely, 2223121304200140 is an apocalyptic number.

223121304200140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223121304200140 is an abundant number, since it is smaller than the sum of its proper divisors (249927205854260).

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

223121304200140 is a wasteful number, since it uses less digits than its factorization.

223121304200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36535 (or 36533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 223121304200140 its reverse (41002403121322), we get a palindrome (264123707321462).

The spelling of 223121304200140 in words is "two hundred twenty-three trillion, one hundred twenty-one billion, three hundred four million, two hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 191 239 382 478 764 955 956 1195 1910 2390 3820 4780 9029 18058 27067 36116 45145 45649 54134 90290 91298 108268 135335 180580 182596 228245 270670 456490 541340 912980 1724539 2157931 3449078 4315862 5169797 6469013 6898156 8622695 8631724 10339594 10789655 12938026 17245390 20679188 21579310 25848985 25876052 32345065 34490780 43158620 51697970 64690130 103395940 129380260 244387943 412164821 488775886 824329642 977551772 1221939715 1235581483 1648659284 2060824105 2443879430 2471162966 4121648210 4887758860 4942325932 6177907415 8243296420 12355814830 24711629660 46678097113 58408718377 93356194226 116817436754 186712388452 233390485565 233634873508 292043591885 466780971130 584087183770 933561942260 1168174367540 11156065210007 22312130420014 44624260840028 55780326050035 111560652100070 223121304200140