Search a number
-
+
2235570240 = 26356734757
BaseRepresentation
bin1000010101000000…
…0001100001000000
312202210121201211210
42011100001201000
514034301221430
61005500010120
7106254014331
oct20520014100
95683551753
102235570240
11a47a15012
12524830940
13298206b37
14172c9a288
15d13e62b0
hex85401840

2235570240 has 112 divisors (see below), whose sum is σ = 7204082112. Its totient is φ = 587237376.

The previous prime is 2235570217. The next prime is 2235570283. The reversal of 2235570240 is 420755322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2235570198 and 2235570207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46942 + ... + 81698.

Almost surely, 22235570240 is an apocalyptic number.

2235570240 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 2235570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602041056).

2235570240 is an abundant number, since it is smaller than the sum of its proper divisors (4968511872).

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

2235570240 is a wasteful number, since it uses less digits than its factorization.

2235570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34844 (or 34834 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 2235570240 is about 47281.8172239604. The cubic root of 2235570240 is about 1307.5634525932.

The spelling of 2235570240 in words is "two billion, two hundred thirty-five million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 134 160 192 201 240 268 320 335 402 480 536 670 804 960 1005 1072 1340 1608 2010 2144 2680 3216 4020 4288 5360 6432 8040 10720 12864 16080 21440 32160 34757 64320 69514 104271 139028 173785 208542 278056 347570 417084 521355 556112 695140 834168 1042710 1112224 1390280 1668336 2085420 2224448 2328719 2780560 3336672 4170840 4657438 5561120 6673344 6986157 8341680 9314876 11122240 11643595 13972314 16683360 18629752 23287190 27944628 33366720 34930785 37259504 46574380 55889256 69861570 74519008 93148760 111778512 139723140 149038016 186297520 223557024 279446280 372595040 447114048 558892560 745190080 1117785120 2235570240