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1373220216 = 2336415743
BaseRepresentation
bin101000111011001…
…1010110101111000
310112200221211000000
41101312122311320
510303021021331
6344132513000
746013115324
oct12166326570
93480854000
101373220216
11645168745
12323a7b760
1318b663454
14d0540984
15808550e6
hex51d9ad78

1373220216 has 112 divisors (see below), whose sum is σ = 3955260960. Its totient is φ = 446497920.

The previous prime is 1373220157. The next prime is 1373220241. The reversal of 1373220216 is 6120223731.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1373220216.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 236241 + ... + 241983.

It is an arithmetic number, because the mean of its divisors is an integer number (35314830).

Almost surely, 21373220216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1373220216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977630480).

1373220216 is an abundant number, since it is smaller than the sum of its proper divisors (2582040744).

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

1373220216 is an equidigital number, since it uses as much as digits as its factorization.

1373220216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5789 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1373220216 is about 37056.9860620100. The cubic root of 1373220216 is about 1111.5100558024.

Adding to 1373220216 its reverse (6120223731), we get a palindrome (7493443947).

The spelling of 1373220216 in words is "one billion, three hundred seventy-three million, two hundred twenty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 243 246 324 328 369 486 492 648 729 738 972 984 1107 1458 1476 1944 2214 2916 2952 3321 4428 5743 5832 6642 8856 9963 11486 13284 17229 19926 22972 26568 29889 34458 39852 45944 51687 59778 68916 79704 103374 119556 137832 155061 206748 235463 239112 310122 413496 465183 470926 620244 706389 930366 941852 1240488 1395549 1412778 1860732 1883704 2119167 2791098 2825556 3721464 4186647 4238334 5582196 5651112 6357501 8373294 8476668 11164392 12715002 16746588 16953336 19072503 25430004 33493176 38145006 50860008 57217509 76290012 114435018 152580024 171652527 228870036 343305054 457740072 686610108 1373220216