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148222179840 = 2935719312151
BaseRepresentation
bin1000101000001010111…
…0101111101000000000
3112011120212011220002110
42022002232233220000
54412024334223330
6152031535415320
713465040512050
oct2120256575000
9464525156073
10148222179840
1157951613599
1224887384540
1310c92156a77
14726160d560
153cc79a7db0
hex2282bafa00

148222179840 has 960 divisors, whose sum is σ = 592924907520. Its totient is φ = 30855168000.

The previous prime is 148222179811. The next prime is 148222179887. The reversal of 148222179840 is 48971222841.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 148222179840.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 981603765 + ... + 981603915.

It is an arithmetic number, because the mean of its divisors is an integer number (617630112).

Almost surely, 2148222179840 is an apocalyptic number.

148222179840 is a gapful number since it is divisible by the number (10) 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 148222179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296462453760).

148222179840 is an abundant number, since it is smaller than the sum of its proper divisors (444702727680).

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

148222179840 is a wasteful number, since it uses less digits than its factorization.

148222179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 148222179840 in words is "one hundred forty-eight billion, two hundred twenty-two million, one hundred seventy-nine thousand, eight hundred forty".