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1228001472 = 26352812
BaseRepresentation
bin100100100110001…
…1101000011000000
310011120200221100000
41021030131003000
510003332021342
6321504200000
742300561135
oct11114350300
93146627300
101228001472
115801a1755
122a3309000
131675498b9
14b913c58c
1572c1c44c
hex4931d0c0

1228001472 has 126 divisors (see below), whose sum is σ = 3663245404. Its totient is φ = 407877120.

The previous prime is 1228001461. The next prime is 1228001479. The reversal of 1228001472 is 2741008221.

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 is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1228001479) 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 17 ways as a sum of consecutive naturals, for example, 4369972 + ... + 4370252.

Almost surely, 21228001472 is an apocalyptic number.

1228001472 is a gapful number since it is divisible by the number (12) 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 1228001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831622702).

1228001472 is an abundant number, since it is smaller than the sum of its proper divisors (2435243932).

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

1228001472 is an frugal number, since it uses more digits than its factorization.

1228001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1228001472 is about 35042.8519387335. The cubic root of 1228001472 is about 1070.8606555524.

Multiplying 1228001472 by its sum of digits (27), we get a square (33156039744 = 1820882).

1228001472 divided by its sum of digits (27) gives a square (45481536 = 67442).

Adding to 1228001472 its reverse (2741008221), we get a palindrome (3969009693).

The spelling of 1228001472 in words is "one billion, two hundred twenty-eight million, one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 281 288 324 432 486 562 576 648 843 864 972 1124 1296 1686 1728 1944 2248 2529 2592 3372 3888 4496 5058 5184 6744 7587 7776 8992 10116 13488 15174 15552 17984 20232 22761 26976 30348 40464 45522 53952 60696 68283 78961 80928 91044 121392 136566 157922 161856 182088 236883 242784 273132 315844 364176 473766 485568 546264 631688 710649 728352 947532 1092528 1263376 1421298 1456704 1895064 2131947 2185056 2526752 2842596 3790128 4263894 4370112 5053504 5685192 6395841 7580256 8527788 11370384 12791682 15160512 17055576 19187523 22740768 25583364 34111152 38375046 45481536 51166728 68222304 76750092 102333456 136444608 153500184 204666912 307000368 409333824 614000736 1228001472