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2272772448 = 2532107131563
BaseRepresentation
bin1000011101110111…
…1100000101100000
312212101121210200100
42013131330011200
514123312204243
61013305222400
7110215150512
oct20735740540
95771553610
102272772448
11a66a14641
12535191a00
132a2b3108b
14177bc1bb2
15d47e40d3
hex8777c160

2272772448 has 144 divisors (see below), whose sum is σ = 6585074496. Its totient is φ = 743458560.

The previous prime is 2272772443. The next prime is 2272772461. The reversal of 2272772448 is 8442772722.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2272772443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4036615 + ... + 4037177.

It is an arithmetic number, because the mean of its divisors is an integer number (45729684).

Almost surely, 22272772448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272772448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292537248).

2272772448 is an abundant number, since it is smaller than the sum of its proper divisors (4312302048).

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

2272772448 is a wasteful number, since it uses less digits than its factorization.

2272772448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

The product of its digits is 702464, while the sum is 45.

The square root of 2272772448 is about 47673.6032621827. The cubic root of 2272772448 is about 1314.7766583737.

The spelling of 2272772448 in words is "two billion, two hundred seventy-two million, seven hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 131 144 214 262 288 321 393 428 524 563 642 786 856 963 1048 1126 1179 1284 1572 1689 1712 1926 2096 2252 2358 2568 3144 3378 3424 3852 4192 4504 4716 5067 5136 6288 6756 7704 9008 9432 10134 10272 12576 13512 14017 15408 18016 18864 20268 27024 28034 30816 37728 40536 42051 54048 56068 60241 73753 81072 84102 112136 120482 126153 147506 162144 168204 180723 221259 224272 240964 252306 295012 336408 361446 442518 448544 481928 504612 542169 590024 663777 672816 722892 885036 963856 1009224 1084338 1180048 1327554 1345632 1445784 1770072 1927712 2018448 2168676 2360096 2655108 2891568 3540144 4036896 4337352 5310216 5783136 7080288 7891571 8674704 10620432 15783142 17349408 21240864 23674713 31566284 47349426 63132568 71024139 94698852 126265136 142048278 189397704 252530272 284096556 378795408 568193112 757590816 1136386224 2272772448