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5516222148 = 223443599661
BaseRepresentation
bin1010010001100101…
…01101111011000100
3112020102202010020000
411020302231323010
542244123102043
62311211441300
7253461054213
oct51062557304
915212663200
105516222148
112380844388
12109b456230
1369baa3698
143a487b07a
152244262d3
hex148cadec4

5516222148 has 120 divisors (see below), whose sum is σ = 14802849600. Its totient is φ = 1790268480.

The previous prime is 5516222143. The next prime is 5516222149. The reversal of 5516222148 is 8412226155.

5516222148 is a `hidden beast` number, since 5 + 5 + 1 + 622 + 21 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5516222143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8344938 + ... + 8345598.

It is an arithmetic number, because the mean of its divisors is an integer number (123357080).

Almost surely, 25516222148 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 5516222148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401424800).

5516222148 is an abundant number, since it is smaller than the sum of its proper divisors (9286627452).

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

5516222148 is a wasteful number, since it uses less digits than its factorization.

5516222148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1308 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 5516222148 is about 74271.2740431992. The cubic root of 5516222148 is about 1766.9079137185.

The spelling of 5516222148 in words is "five billion, five hundred sixteen million, two hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 599 661 774 1161 1198 1322 1548 1797 1983 2322 2396 2644 3483 3594 3966 4644 5391 5949 6966 7188 7932 10782 11898 13932 16173 17847 21564 23796 25757 28423 32346 35694 48519 51514 53541 56846 64692 71388 77271 85269 97038 103028 107082 113692 154542 170538 194076 214164 231813 255807 309084 341076 395939 463626 511614 695439 767421 791878 927252 1023228 1187817 1390878 1534842 1583756 2086317 2302263 2375634 2781756 3069684 3563451 4172634 4604526 4751268 7126902 8345268 9209052 10690353 14253804 17025377 21380706 32071059 34050754 42761412 51076131 64142118 68101508 102152262 128284236 153228393 204304524 306456786 459685179 612913572 919370358 1379055537 1838740716 2758111074 5516222148