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2270655036 = 223213231931093
BaseRepresentation
bin1000011101010111…
…0111001000111100
312212020122020010200
42013111313020330
514122241430121
61013152003500
7110161151346
oct20725671074
95766566120
102270655036
11a657a8811
12534530590
132a256c380
141777d0296
15d4526a26
hex8757723c

2270655036 has 144 divisors (see below), whose sum is σ = 6489327936. Its totient is φ = 664215552.

The previous prime is 2270655029. The next prime is 2270655053. The reversal of 2270655036 is 6305560722.

It is a happy number.

2270655036 is a `hidden beast` number, since 2 + 2 + 70 + 6 + 550 + 36 = 666.

It is a super-2 number, since 2×22706550362 = 10311748585024322592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2076906 + ... + 2077998.

It is the magic constant of a 1656 × 1656 magic square.

Almost surely, 22270655036 is an apocalyptic number.

2270655036 is a gapful number since it is divisible by the number (26) 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 2270655036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244663968).

2270655036 is an abundant number, since it is smaller than the sum of its proper divisors (4218672900).

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

2270655036 is a wasteful number, since it uses less digits than its factorization.

2270655036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 2270655036 is about 47651.3907037350. The cubic root of 2270655036 is about 1314.3682307922.

The spelling of 2270655036 in words is "two billion, two hundred seventy million, six hundred fifty-five thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 193 207 234 276 299 386 414 468 579 598 772 828 897 1093 1158 1196 1737 1794 2186 2316 2509 2691 3279 3474 3588 4372 4439 5018 5382 6558 6948 7527 8878 9837 10036 10764 13116 13317 14209 15054 17756 19674 22581 25139 26634 28418 30108 39348 39951 42627 45162 50278 53268 56836 57707 75417 79902 85254 90324 100556 115414 127881 150834 159804 170508 173121 210949 226251 230828 255762 301668 326807 346242 421898 452502 511524 519363 632847 653614 692484 843796 905004 980421 1038726 1265694 1307228 1898541 1960842 2077452 2531388 2742337 2941263 3797082 3921684 4851827 5484674 5882526 7594164 8227011 9703654 10969348 11765052 14555481 16454022 19407308 24681033 29110962 32908044 43666443 49362066 58221924 63073751 87332886 98724132 126147502 174665772 189221253 252295004 378442506 567663759 756885012 1135327518 2270655036