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2555201340 = 22325103283487
BaseRepresentation
bin1001100001001101…
…0100011100111100
320121002001200021200
42120103110130330
520213112420330
61101314455500
7120214565406
oct23023243474
96532050250
102555201340
1110a138764a
125b3894590
133194b9173
141a34ddb76
15ee4d1a60
hex984d473c

2555201340 has 144 divisors (see below), whose sum is σ = 7869808128. Its totient is φ = 671006592.

The previous prime is 2555201333. The next prime is 2555201387. The reversal of 2555201340 is 431025552.

It is a happy number.

2555201340 is a `hidden beast` number, since 2 + 5 + 5 + 520 + 134 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5246577 + ... + 5247063.

Almost surely, 22555201340 is an apocalyptic number.

2555201340 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 2555201340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934904064).

2555201340 is an abundant number, since it is smaller than the sum of its proper divisors (5314606788).

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

2555201340 is a wasteful number, since it uses less digits than its factorization.

2555201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2555201340 is about 50548.9993966251. Note that the first 3 decimals coincide. The cubic root of 2555201340 is about 1367.1254734261.

Adding to 2555201340 its reverse (431025552), we get a palindrome (2986226892).

The spelling of 2555201340 in words is "two billion, five hundred fifty-five million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 283 309 412 487 515 566 618 849 927 974 1030 1132 1236 1415 1461 1545 1698 1854 1948 2060 2435 2547 2830 2922 3090 3396 3708 4245 4383 4635 4870 5094 5660 5844 6180 7305 8490 8766 9270 9740 10188 12735 14610 16980 17532 18540 21915 25470 29149 29220 43830 50161 50940 58298 87447 87660 100322 116596 137821 145745 150483 174894 200644 250805 262341 275642 291490 300966 349788 413463 437235 451449 501610 524682 551284 582980 601932 689105 752415 826926 874470 902898 1003220 1049364 1240389 1311705 1378210 1504830 1653852 1748940 1805796 2067315 2257245 2480778 2623410 2756420 3009660 4134630 4514490 4961556 5246820 6201945 8269260 9028980 12403890 14195563 24807780 28391126 42586689 56782252 70977815 85173378 127760067 141955630 170346756 212933445 255520134 283911260 425866890 511040268 638800335 851733780 1277600670 2555201340