Search a number
-
+
2259591457740 = 2235109345503281
BaseRepresentation
bin100000111000011010001…
…001010110101111001100
322000000101210222020120220
4200320122021112233030
5244010120403121430
64450013022511340
7322151532326331
oct40703211265714
98000353866526
102259591457740
117a131851a211
12305b10735550
1313510379ac36
147b517078988
153db9cda5110
hex20e1a256bcc

2259591457740 has 48 divisors (see below), whose sum is σ = 6384900651360. Its totient is φ = 597029667840.

The previous prime is 2259591457681. The next prime is 2259591457771. The reversal of 2259591457740 is 477541959522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172745101 + ... + 172758180.

It is an arithmetic number, because the mean of its divisors is an integer number (133018763570).

Almost surely, 22259591457740 is an apocalyptic number.

2259591457740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259591457740 is an abundant number, since it is smaller than the sum of its proper divisors (4125309193620).

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

2259591457740 is a wasteful number, since it uses less digits than its factorization.

2259591457740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345503402 (or 345503400 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 60.

The spelling of 2259591457740 in words is "two trillion, two hundred fifty-nine billion, five hundred ninety-one million, four hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 1090 1308 1635 2180 3270 6540 345503281 691006562 1036509843 1382013124 1727516405 2073019686 3455032810 4146039372 5182549215 6910065620 10365098430 20730196860 37659857629 75319715258 112979572887 150639430516 188299288145 225959145774 376598576290 451918291548 564897864435 753197152580 1129795728870 2259591457740