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2270681172810 = 23251011371823357
BaseRepresentation
bin100001000010101111001…
…001010000101101001010
322001002000200020010202200
4201002233021100231022
5244200323340012220
64455045253541030
7323023411340211
oct41025711205512
98032020203680
102270681172810
117a5a99364296
123080a6644776
1313618017790b
147bc89c20078
153e0eb766890
hex210af250b4a

2270681172810 has 96 divisors (see below), whose sum is σ = 6005747406672. Its totient is φ = 595143398400.

The previous prime is 2270681172797. The next prime is 2270681172817. The reversal of 2270681172810 is 182711860722.

It can be written as a sum of positive squares in 8 ways, for example, as 1006223653449 + 1264457519361 = 1003107^2 + 1124481^2 .

It is a super-2 number, since 2×22706811728102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2270681172817) by changing a digit.

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, 333652 + ... + 2157008.

Almost surely, 22270681172810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270681172810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002873703336).

2270681172810 is an abundant number, since it is smaller than the sum of its proper divisors (3735066233862).

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

2270681172810 is a wasteful number, since it uses less digits than its factorization.

2270681172810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823608 (or 1823605 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 2270681172810 in words is "two trillion, two hundred seventy billion, six hundred eighty-one million, one hundred seventy-two thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 137 202 274 303 411 505 606 685 822 909 1010 1233 1370 1515 1818 2055 2466 3030 4110 4545 6165 9090 12330 13837 27674 41511 69185 83022 124533 138370 207555 249066 415110 622665 1245330 1823357 3646714 5470071 9116785 10940142 16410213 18233570 27350355 32820426 54700710 82051065 164102130 184159057 249799909 368318114 499599818 552477171 749399727 920795285 1104954342 1248999545 1498799454 1657431513 1841590570 2248199181 2497999090 2762385855 3314863026 3746998635 4496398362 5524771710 7493997270 8287157565 11240995905 16574315130 22481991810 25229790809 50459581618 75689372427 126148954045 151378744854 227068117281 252297908090 378446862135 454136234562 756893724270 1135340586405 2270681172810