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2155222512 = 2433127163241
BaseRepresentation
bin1000000001110110…
…0001010111110000
312120012102122111000
42000131201113300
513403214110022
6553505522000
7104260042362
oct20035412760
95505378430
102155222512
11a06626633
12501943300
132846843c1
14166342d32
15c93246ac
hex807615f0

2155222512 has 160 divisors (see below), whose sum is σ = 6299279360. Its totient is φ = 705438720.

The previous prime is 2155222477. The next prime is 2155222513. The reversal of 2155222512 is 2152225512.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155222513) 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 31 ways as a sum of consecutive naturals, for example, 8942712 + ... + 8942952.

It is an arithmetic number, because the mean of its divisors is an integer number (39370496).

Almost surely, 22155222512 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 2155222512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3149639680).

2155222512 is an abundant number, since it is smaller than the sum of its proper divisors (4144056848).

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

2155222512 is a wasteful number, since it uses less digits than its factorization.

2155222512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 536 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 2155222512 is about 46424.3741153287. The cubic root of 2155222512 is about 1291.7070747835.

The spelling of 2155222512 in words is "two billion, one hundred fifty-five million, two hundred twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 163 216 241 254 326 381 432 482 489 508 652 723 762 964 978 1016 1143 1304 1446 1467 1524 1928 1956 2032 2169 2286 2608 2892 2934 3048 3429 3856 3912 4338 4401 4572 5784 5868 6096 6507 6858 7824 8676 8802 9144 11568 11736 13014 13716 17352 17604 18288 20701 23472 26028 27432 30607 34704 35208 39283 41402 52056 54864 61214 62103 70416 78566 82804 91821 104112 117849 122428 124206 157132 165608 183642 186309 235698 244856 248412 275463 314264 331216 353547 367284 372618 471396 489712 496824 550926 558927 628528 707094 734568 745236 826389 942792 993648 1060641 1101852 1117854 1414188 1469136 1490472 1652778 1885584 2121282 2203704 2235708 2828376 2980944 3305556 4242564 4407408 4471416 4988941 5656752 6611112 8485128 8942832 9977882 13222224 14966823 16970256 19955764 29933646 39911528 44900469 59867292 79823056 89800938 119734584 134701407 179601876 239469168 269402814 359203752 538805628 718407504 1077611256 2155222512