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1228115088 = 243317433889
BaseRepresentation
bin100100100110011…
…1000110010010000
310011120220201012000
41021030320302100
510003344140323
6321510434000
742301543314
oct11114706220
93146821160
101228115088
1158026a052
122a3362900
13167589525
14b916bb44
1572c40e43
hex49338c90

1228115088 has 160 divisors (see below), whose sum is σ = 3820291200. Its totient is φ = 376233984.

The previous prime is 1228115087. The next prime is 1228115089. The reversal of 1228115088 is 8805118221.

It is an interprime number because it is at equal distance from previous prime (1228115087) and next prime (1228115089).

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

It is not an unprimeable number, because it can be changed into a prime (1228115081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313848 + ... + 317736.

It is an arithmetic number, because the mean of its divisors is an integer number (23876820).

Almost surely, 21228115088 is an apocalyptic number.

1228115088 is a gapful number since it is divisible by the number (18) 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 1228115088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910145600).

1228115088 is an abundant number, since it is smaller than the sum of its proper divisors (2592176112).

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

1228115088 is a wasteful number, since it uses less digits than its factorization.

1228115088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The square root of 1228115088 is about 35044.4730021725. The cubic root of 1228115088 is about 1070.8936802555.

The spelling of 1228115088 in words is "one billion, two hundred twenty-eight million, one hundred fifteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 43 48 51 54 68 72 86 102 108 129 136 144 153 172 204 216 258 272 306 344 387 408 432 459 516 612 688 731 774 816 918 1032 1161 1224 1462 1548 1836 2064 2193 2322 2448 2924 3096 3672 3889 4386 4644 5848 6192 6579 7344 7778 8772 9288 11667 11696 13158 15556 17544 18576 19737 23334 26316 31112 35001 35088 39474 46668 52632 62224 66113 70002 78948 93336 105003 105264 132226 140004 157896 167227 186672 198339 210006 264452 280008 315792 334454 396678 420012 501681 528904 560016 595017 668908 793356 840024 1003362 1057808 1190034 1337816 1505043 1586712 1680048 1785051 2006724 2380068 2675632 2842859 3010086 3173424 3570102 4013448 4515129 4760136 5685718 6020172 7140204 8026896 8528577 9030258 9520272 11371436 12040344 14280408 17057154 18060516 22742872 24080688 25585731 28560816 34114308 36121032 45485744 51171462 68228616 72242064 76757193 102342924 136457232 153514386 204685848 307028772 409371696 614057544 1228115088