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1225054440 = 233253402929
BaseRepresentation
bin100100100000100…
…1101100011101000
310011101011012202200
41021001031203220
510002103220230
6321321100200
742233535201
oct11101154350
93141135680
101225054440
11579569595
122a2327660
13166a573ac
14b89b25a8
1572839160
hex4904d8e8

1225054440 has 48 divisors (see below), whose sum is σ = 3981428100. Its totient is φ = 326681088.

The previous prime is 1225054427. The next prime is 1225054463. The reversal of 1225054440 is 444505221.

1225054440 is a `hidden beast` number, since 122 + 50 + 54 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1015441956 + 209612484 = 31866^2 + 14478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1701105 + ... + 1701824.

Almost surely, 21225054440 is an apocalyptic number.

1225054440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225054440 is an abundant number, since it is smaller than the sum of its proper divisors (2756373660).

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

1225054440 is a wasteful number, since it uses less digits than its factorization.

1225054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402946 (or 3402939 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1225054440 is about 35000.7777056453. Note that the first 4 decimals coincide. The cubic root of 1225054440 is about 1070.0033307026.

Adding to 1225054440 its reverse (444505221), we get a palindrome (1669559661).

The spelling of 1225054440 in words is "one billion, two hundred twenty-five million, fifty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3402929 6805858 10208787 13611716 17014645 20417574 27223432 30626361 34029290 40835148 51043935 61252722 68058580 81670296 102087870 122505444 136117160 153131805 204175740 245010888 306263610 408351480 612527220 1225054440