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2223556040 = 235181307121
BaseRepresentation
bin1000010010001000…
…1100010111001000
312201222000100110102
42010202030113020
514023212243130
61004350304532
7106046625446
oct20442142710
95658010412
102223556040
11a41159622
125207b8148
1329588b544
1417144db96
15d0321645
hex8488c5c8

2223556040 has 32 divisors (see below), whose sum is σ = 5030658360. Its totient is φ = 884505600.

The previous prime is 2223556019. The next prime is 2223556043. The reversal of 2223556040 is 406553222.

It can be written as a sum of positive squares in 4 ways, for example, as 953203876 + 1270352164 = 30874^2 + 35642^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2223555994 and 2223556012.

It is not an unprimeable number, because it can be changed into a prime (2223556043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146321 + ... + 160800.

Almost surely, 22223556040 is an apocalyptic number.

2223556040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223556040 is an abundant number, since it is smaller than the sum of its proper divisors (2807102320).

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

2223556040 is a wasteful number, since it uses less digits than its factorization.

2223556040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307313 (or 307309 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 2223556040 is about 47154.5972308109. The cubic root of 2223556040 is about 1305.2169141737.

The spelling of 2223556040 in words is "two billion, two hundred twenty-three million, five hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 307121 614242 1228484 1535605 2456968 3071210 6142420 12284840 55588901 111177802 222355604 277944505 444711208 555889010 1111778020 2223556040