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1220453568 = 2634311757
BaseRepresentation
bin100100010111110…
…1010010011000000
310011001111110120000
41020233222103000
54444414003233
6321034320000
742146453445
oct11057522300
93131443500
101220453568
11576a06914
122a0889000
13165b06199
14b81359cc
157222ad13
hex48bea4c0

1220453568 has 140 divisors (see below), whose sum is σ = 3634234032. Its totient is φ = 404974080.

The previous prime is 1220453561. The next prime is 1220453573. The reversal of 1220453568 is 8653540221.

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 (1220453561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1611846 + ... + 1612602.

Almost surely, 21220453568 is an apocalyptic number.

1220453568 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 1220453568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817117016).

1220453568 is an abundant number, since it is smaller than the sum of its proper divisors (2413780464).

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

1220453568 is an equidigital number, since it uses as much as digits as its factorization.

1220453568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1220453568 is about 34934.9905968214. The cubic root of 1220453568 is about 1068.6621320189.

Adding to 1220453568 its reverse (8653540221), we get a palindrome (9873993789).

The spelling of 1220453568 in words is "one billion, two hundred twenty million, four hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 311 324 432 576 622 648 757 864 933 1244 1296 1514 1728 1866 2271 2488 2592 2799 3028 3732 4542 4976 5184 5598 6056 6813 7464 8397 9084 9952 11196 12112 13626 14928 16794 18168 19904 20439 22392 24224 25191 27252 29856 33588 36336 40878 44784 48448 50382 54504 59712 61317 67176 72672 81756 89568 100764 109008 122634 134352 145344 163512 179136 201528 218016 235427 245268 268704 327024 403056 436032 470854 490536 537408 654048 706281 806112 941708 981072 1308096 1412562 1612224 1883416 1962144 2118843 2825124 3766832 3924288 4237686 5650248 6356529 7533664 8475372 11300496 12713058 15067328 16950744 19069587 22600992 25426116 33901488 38139174 45201984 50852232 67802976 76278348 101704464 135605952 152556696 203408928 305113392 406817856 610226784 1220453568