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2273777088 = 263113134729
BaseRepresentation
bin1000011110000111…
…0001010111000000
312212110111211210020
42013201301113000
514124041331323
61013342533440
7110226533502
oct20741612700
95773454706
102273777088
11a67540420
12535597280
132a30c343b
14177da3d72
15d4941ae3
hex878715c0

2273777088 has 112 divisors (see below), whose sum is σ = 6774850560. Its totient is φ = 666777600.

The previous prime is 2273777083. The next prime is 2273777089. The reversal of 2273777088 is 8807773722.

It is a self number, because there is not a number n which added to its sum of digits gives 2273777088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2273777083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48108 + ... + 82836.

Almost surely, 22273777088 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 2273777088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387425280).

2273777088 is an abundant number, since it is smaller than the sum of its proper divisors (4501073472).

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

2273777088 is a wasteful number, since it uses less digits than its factorization.

2273777088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34786 (or 34776 counting only the distinct ones).

The product of its (nonzero) digits is 1843968, while the sum is 51.

The square root of 2273777088 is about 47684.1387465476. The cubic root of 2273777088 is about 1314.9703546450.

The spelling of 2273777088 in words is "two billion, two hundred seventy-three million, seven hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 4092 5456 5952 8184 10912 16368 21824 32736 34729 65472 69458 104187 138916 208374 277832 382019 416748 555664 764038 833496 1076599 1111328 1146057 1528076 1666992 2153198 2222656 2292114 3056152 3229797 3333984 4306396 4584228 6112304 6459594 6667968 8612792 9168456 11842589 12224608 12919188 17225584 18336912 23685178 24449216 25838376 34451168 35527767 36673824 47370356 51676752 68902336 71055534 73347648 94740712 103353504 142111068 189481424 206707008 284222136 378962848 568444272 757925696 1136888544 2273777088