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112722148 = 227411297
BaseRepresentation
bin1101011100000…
…00000011100100
321212002212201101
412232000003210
5212324102043
615104005444
72536060000
oct656000344
9255085641
10112722148
11586a0900
1231900884
131a4793c6
1410d83700
159d6924d
hex6b800e4

112722148 has 90 divisors (see below), whose sum is σ = 255557638. Its totient is φ = 43464960.

The previous prime is 112722109. The next prime is 112722151. The reversal of 112722148 is 841227211.

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 18593344 = 9702^2 + 4312^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1162036 + ... + 1162132.

Almost surely, 2112722148 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 112722148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127778819).

112722148 is an abundant number, since it is smaller than the sum of its proper divisors (142835490).

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

112722148 is an equidigital number, since it uses as much as digits as its factorization.

112722148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 112722148 is about 10617.0687103362. The cubic root of 112722148 is about 483.0622338069.

Adding to 112722148 its reverse (841227211), we get a palindrome (953949359).

The spelling of 112722148 in words is "one hundred twelve million, seven hundred twenty-two thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 97 98 121 154 194 196 242 308 343 388 484 539 679 686 847 1067 1078 1358 1372 1694 2134 2156 2401 2716 3388 3773 4268 4753 4802 5929 7469 7546 9506 9604 11737 11858 14938 15092 19012 23474 23716 26411 29876 33271 41503 46948 52283 52822 66542 82159 83006 104566 105644 133084 164318 166012 209132 232897 290521 328636 365981 465794 575113 581042 731962 931588 1150226 1162084 1463924 2300452 2561867 4025791 5123734 8051582 10247468 16103164 28180537 56361074 112722148