Search a number
-
+
2220220512 = 253229265831
BaseRepresentation
bin1000010001010101…
…1110000001100000
312201201201212222100
42010111132001200
514021334024022
61004151010400
7106006364046
oct20425360140
95651655870
102220220512
11a3a290594
1251b669a00
13294c91263
14170c22396
15cedb31ac
hex8455e060

2220220512 has 72 divisors (see below), whose sum is σ = 6531492240. Its totient is φ = 714551040.

The previous prime is 2220220501. The next prime is 2220220529. The reversal of 2220220512 is 2150220222.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 124564 + ... + 141267.

It is an arithmetic number, because the mean of its divisors is an integer number (90715170).

Almost surely, 22220220512 is an apocalyptic number.

It is an amenable number.

2220220512 is an abundant number, since it is smaller than the sum of its proper divisors (4311271728).

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

2220220512 is a wasteful number, since it uses less digits than its factorization.

2220220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265876 (or 265865 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2220220512 is about 47119.2159527299. The cubic root of 2220220512 is about 1304.5639411549.

Adding to 2220220512 its reverse (2150220222), we get a palindrome (4370440734).

The spelling of 2220220512 in words is "two billion, two hundred twenty million, two hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 265831 531662 797493 1063324 1594986 2126648 2392479 3189972 4253296 4784958 6379944 7709099 8506592 9569916 12759888 15418198 19139832 23127297 25519776 30836396 38279664 46254594 61672792 69381891 76559328 92509188 123345584 138763782 185018376 246691168 277527564 370036752 555055128 740073504 1110110256 2220220512