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2269760164 = 2272412832
BaseRepresentation
bin1000011101001001…
…1100101010100100
312212011221202121021
42013102130222210
514122024311124
61013120500524
7110150433400
oct20722345244
95764852537
102269760164
11a65247451
1253417a744
132a2317c69
1417763a100
15d43eb7e4
hex8749caa4

2269760164 has 81 divisors (see below), whose sum is σ = 4793777121. Its totient is φ = 937594560.

The previous prime is 2269760131. The next prime is 2269760179. The reversal of 2269760164 is 4610679622.

It is a happy number.

The square root of 2269760164 is 47642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 109369764 + 2160390400 = 10458^2 + 46480^2 .

It is a super-2 number, since 2×22697601642 = 10303622404162613792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2269760164.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27346467 + ... + 27346549.

Almost surely, 22269760164 is an apocalyptic number.

2269760164 is the 47642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269760164

2269760164 is an abundant number, since it is smaller than the sum of its proper divisors (2524016957).

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

2269760164 is an equidigital number, since it uses as much as digits as its factorization.

2269760164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The cubic root of 2269760164 is about 1314.1955426096.

The spelling of 2269760164 in words is "two billion, two hundred sixty-nine million, seven hundred sixty thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 41 49 82 83 98 164 166 196 287 332 574 581 1148 1162 1681 2009 2324 3362 3403 4018 4067 6724 6806 6889 8036 8134 11767 13612 13778 16268 23534 23821 27556 47068 47642 48223 82369 95284 96446 139523 164738 166747 192892 279046 282449 329476 333494 337561 558092 564898 666988 675122 976661 1129796 1350244 1953322 1977143 3906644 3954286 6836627 7908572 11580409 13673254 13840001 23160818 27346508 27680002 46321636 55360004 81062863 162125726 324251452 567440041 1134880082 2269760164