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2255941688 = 2371113416871
BaseRepresentation
bin1000011001110110…
…1111000000111000
312211012221201012212
42012131233000320
514110010113223
61011504354252
7106622121320
oct20635570070
95735851185
102255941688
11a58469420
1252b615988
1329c4ba350
14175880280
15d30bc278
hex8676f038

2255941688 has 128 divisors (see below), whose sum is σ = 5818659840. Its totient is φ = 791424000.

The previous prime is 2255941619. The next prime is 2255941733. The reversal of 2255941688 is 8861495522.

It is a happy number.

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, 324893 + ... + 331763.

It is an arithmetic number, because the mean of its divisors is an integer number (45458280).

Almost surely, 22255941688 is an apocalyptic number.

2255941688 is a gapful number since it is divisible by the number (28) 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 2255941688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909329920).

2255941688 is an abundant number, since it is smaller than the sum of its proper divisors (3562718152).

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

2255941688 is a wasteful number, since it uses less digits than its factorization.

2255941688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6945 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 50.

The square root of 2255941688 is about 47496.7544996498. The cubic root of 2255941688 is about 1311.5231371667.

The spelling of 2255941688 in words is "two billion, two hundred fifty-five million, nine hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 41 44 52 56 77 82 88 91 104 143 154 164 182 286 287 308 328 364 451 533 572 574 616 728 902 1001 1066 1144 1148 1804 2002 2132 2296 3157 3608 3731 4004 4264 5863 6314 6871 7462 8008 11726 12628 13742 14924 23452 25256 27484 29848 41041 46904 48097 54968 75581 82082 89323 96194 151162 164164 178646 192388 281711 302324 328328 357292 384776 529067 563422 604648 625261 714584 982553 1058134 1126844 1250522 1965106 1971977 2116268 2253688 2501044 3098821 3662243 3930212 3943954 4232536 5002088 6197642 6877871 7324486 7860424 7887908 12395284 13755742 14648972 15775816 21691747 24790568 25635701 27511484 29297944 40284673 43383494 51271402 55022968 80569346 86766988 102542804 161138692 173533976 205085608 281992711 322277384 563985422 1127970844 2255941688