Search a number
-
+
302241561156 = 223231513266417
BaseRepresentation
bin1000110010111110000…
…00000011101001000100
31001220010201211010120200
410121133000003221010
514422442314424111
6350503045330500
730556553611143
oct4313700035104
91056121733520
10302241561156
111071a8533387
124a6b0106a30
1322669352562
14108b2b1b75a
157cde38a256
hex465f003a44

302241561156 has 36 divisors (see below), whose sum is σ = 764026613532. Its totient is φ = 100743611904.

The previous prime is 302241561121. The next prime is 302241561157. The reversal of 302241561156 is 651165142203.

302241561156 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 41 + 561 + 1 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14741845056 + 287499716100 = 121416^2 + 536190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3022415611562 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 302241561156.

It is not an unprimeable number, because it can be changed into a prime (302241561157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001260 + ... + 1267676.

It is an arithmetic number, because the mean of its divisors is an integer number (21222961487).

Almost surely, 2302241561156 is an apocalyptic number.

302241561156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

302241561156 is an abundant number, since it is smaller than the sum of its proper divisors (461785052376).

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

302241561156 is a wasteful number, since it uses less digits than its factorization.

302241561156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297940 (or 297935 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 302241561156 in words is "three hundred two billion, two hundred forty-one million, five hundred sixty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 31513 63026 94539 126052 189078 266417 283617 378156 532834 567234 799251 1065668 1134468 1598502 2397753 3197004 4795506 9591012 8395598921 16791197842 25186796763 33582395684 50373593526 75560390289 100747187052 151120780578 302241561156