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1142228808 = 2332725692
BaseRepresentation
bin100010000010101…
…0000011101001000
32221121022020100200
41010011100131020
54314402310213
6305201532200
740206533100
oct10405203510
92847266320
101142228808
11536838456
1227a644060
13152847b46
14ab9b2200
156a428273
hex44150748

1142228808 has 108 divisors (see below), whose sum is σ = 3604939065. Its totient is φ = 325777536.

The previous prime is 1142228803. The next prime is 1142228809. The reversal of 1142228808 is 8088222411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 994897764 + 147331044 = 31542^2 + 12138^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23898.

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 (1142228803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2007148 + ... + 2007716.

Almost surely, 21142228808 is an apocalyptic number.

1142228808 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 1142228808

1142228808 is an abundant number, since it is smaller than the sum of its proper divisors (2462710257).

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

1142228808 is an equidigital number, since it uses as much as digits as its factorization.

1142228808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1142228808 is about 33796.8757135922. The cubic root of 1142228808 is about 1045.3242762466.

The spelling of 1142228808 in words is "one billion, one hundred forty-two million, two hundred twenty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 569 588 882 1138 1176 1707 1764 2276 3414 3528 3983 4552 5121 6828 7966 10242 11949 13656 15932 20484 23898 27881 31864 35847 40968 47796 55762 71694 83643 95592 111524 143388 167286 223048 250929 286776 323761 334572 501858 647522 669144 971283 1003716 1295044 1942566 2007432 2266327 2590088 2913849 3885132 4532654 5827698 6798981 7770264 9065308 11655396 13597962 15864289 18130616 20396943 23310792 27195924 31728578 40793886 47592867 54391848 63457156 81587772 95185734 126914312 142778601 163175544 190371468 285557202 380742936 571114404 1142228808