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2055221952 = 26376912213
BaseRepresentation
bin111101010000000…
…0011001011000000
312022020021002111120
41322200003023000
513202114100302
6535534312240
7101634045510
oct17240031300
95266232446
102055221952
11965134743
12494358680
13269a40584
14156d51840
15c066e9bc
hex7a8032c0

2055221952 has 112 divisors (see below), whose sum is σ = 6226405632. Its totient is φ = 586091520.

The previous prime is 2055221843. The next prime is 2055221977. The reversal of 2055221952 is 2591225502.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 927598 + ... + 929810.

Almost surely, 22055221952 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 2055221952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113202816).

2055221952 is an abundant number, since it is smaller than the sum of its proper divisors (4171183680).

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

2055221952 is a wasteful number, since it uses less digits than its factorization.

2055221952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 2055221952 is about 45334.5558266539. Note that the first 3 decimals coincide. The cubic root of 2055221952 is about 1271.4118161901.

The spelling of 2055221952 in words is "two billion, fifty-five million, two hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 691 1344 1382 2073 2213 2764 4146 4426 4837 5528 6639 8292 8852 9674 11056 13278 14511 15491 16584 17704 19348 22112 26556 29022 30982 33168 35408 38696 44224 46473 53112 58044 61964 66336 70816 77392 92946 106224 116088 123928 132672 141632 154784 185892 212448 232176 247856 309568 371784 424896 464352 495712 743568 928704 991424 1487136 1529183 2974272 3058366 4587549 6116732 9175098 10704281 12233464 18350196 21408562 24466928 32112843 36700392 42817124 48933856 64225686 73400784 85634248 97867712 128451372 146801568 171268496 256902744 293603136 342536992 513805488 685073984 1027610976 2055221952