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4412223040 = 265110912433
BaseRepresentation
bin1000001101111110…
…10010111001000000
3102101111101011011011
410012333102321000
533014012114130
62005453130304
7214224164011
oct40677227100
912344334134
104412223040
111964648525
12a31789994
13554152684
142dbdbb008
151ac55052a
hex106fd2e40

4412223040 has 56 divisors (see below), whose sum is σ = 10516925880. Its totient is φ = 1763155968.

The previous prime is 4412223007. The next prime is 4412223041. The reversal of 4412223040 is 403222144.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 200732224 + 4211490816 = 14168^2 + 64896^2 .

It is not an unprimeable number, because it can be changed into a prime (4412223041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348664 + ... + 361096.

Almost surely, 24412223040 is an apocalyptic number.

4412223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412223040 is an abundant number, since it is smaller than the sum of its proper divisors (6104702840).

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

4412223040 is a wasteful number, since it uses less digits than its factorization.

4412223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13559 (or 13549 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4412223040 is about 66424.5665397976. The cubic root of 4412223040 is about 1640.1585014367.

Adding to 4412223040 its reverse (403222144), we get a palindrome (4815445184).

The spelling of 4412223040 in words is "four billion, four hundred twelve million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1109 2218 4436 5545 8872 11090 12433 17744 22180 24866 35488 44360 49732 62165 70976 88720 99464 124330 177440 198928 248660 354880 397856 497320 795712 994640 1989280 3978560 13788197 27576394 55152788 68940985 110305576 137881970 220611152 275763940 441222304 551527880 882444608 1103055760 2206111520 4412223040