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117224712 = 233311103479
BaseRepresentation
bin1101111110010…
…11010100001000
322011120122002000
412333023110020
5220002142322
615344311000
72622252003
oct677132410
9264518060
10117224712
1160196730
1233312460
131b394947
14117d653a
15a4583ac
hex6fcb508

117224712 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 35104320.

The previous prime is 117224693. The next prime is 117224713. The reversal of 117224712 is 217422711.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (117224713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244489 + ... + 244967.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2117224712 is an apocalyptic number.

117224712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117224712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

117224712 is an abundant number, since it is smaller than the sum of its proper divisors (242199288).

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

117224712 is a wasteful number, since it uses less digits than its factorization.

117224712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 598 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 117224712 is about 10827.0361595406. The cubic root of 117224712 is about 489.4102470172.

The spelling of 117224712 in words is "one hundred seventeen million, two hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 103 108 132 198 206 216 264 297 309 396 412 479 594 618 792 824 927 958 1133 1188 1236 1437 1854 1916 2266 2376 2472 2781 2874 3399 3708 3832 4311 4532 5269 5562 5748 6798 7416 8622 9064 10197 10538 11124 11496 12933 13596 15807 17244 20394 21076 22248 25866 27192 30591 31614 34488 40788 42152 47421 49337 51732 61182 63228 81576 94842 98674 103464 122364 126456 142263 148011 189684 197348 244728 284526 296022 379368 394696 444033 542707 569052 592044 888066 1085414 1138104 1184088 1332099 1628121 1776132 2170828 2664198 3256242 3552264 4341656 4884363 5328396 6512484 9768726 10656792 13024968 14653089 19537452 29306178 39074904 58612356 117224712