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1223401320 = 23345377593
BaseRepresentation
bin100100011101011…
…1001111101101000
310011021001020010000
41020322321331220
510001142320240
6321221423000
742213511461
oct11072717550
93137036100
101223401320
1157863a579
122a186aa60
131665c8b0b
14b86a1d68
157260e430
hex48eb9f68

1223401320 has 80 divisors (see below), whose sum is σ = 4111998660. Its totient is φ = 326239488.

The previous prime is 1223401273. The next prime is 1223401321. The reversal of 1223401320 is 231043221.

1223401320 is a `hidden beast` number, since 1 + 2 + 2 + 340 + 1 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 984327876 + 239073444 = 31374^2 + 15462^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1223401293 and 1223401302.

It is not an unprimeable number, because it can be changed into a prime (1223401321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 185557 + ... + 192036.

Almost surely, 21223401320 is an apocalyptic number.

1223401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1223401320 is an abundant number, since it is smaller than the sum of its proper divisors (2888597340).

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

1223401320 is a wasteful number, since it uses less digits than its factorization.

1223401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377616 (or 377603 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1223401320 is about 34977.1542581726. The cubic root of 1223401320 is about 1069.5218173684.

Adding to 1223401320 its reverse (231043221), we get a palindrome (1454444541).

The spelling of 1223401320 in words is "one billion, two hundred twenty-three million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 377593 755186 1132779 1510372 1887965 2265558 3020744 3398337 3775930 4531116 5663895 6796674 7551860 9062232 10195011 11327790 13593348 15103720 16991685 20390022 22655580 27186696 30585033 33983370 40780044 45311160 50975055 61170066 67966740 81560088 101950110 122340132 135933480 152925165 203900220 244680264 305850330 407800440 611700660 1223401320