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147026227348 = 2272112131921321
BaseRepresentation
bin1000100011101101110…
…0100011000010010100
3112001111111210012200201
42020323130203002110
54402102203233343
6151313134150244
713423306212100
oct2107334430224
9461444705621
10147026227348
1157398521800
12245b2952384
1310b3144b980
14718a854900
153c579bb94d
hex223b723094

147026227348 has 324 divisors, whose sum is σ = 374204497716. Its totient is φ = 50055667200.

The previous prime is 147026227279. The next prime is 147026227349. The reversal of 147026227348 is 843722620741.

It can be written as a sum of positive squares in 2 ways, for example, as 82224415504 + 64801811844 = 286748^2 + 254562^2 .

It is a super-2 number, since 2×1470262273482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147026227298 and 147026227307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147026227349) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 111298528 + ... + 111299848.

Almost surely, 2147026227348 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 147026227348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187102248858).

147026227348 is an abundant number, since it is smaller than the sum of its proper divisors (227178270368).

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

147026227348 is a wasteful number, since it uses less digits than its factorization.

147026227348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 147026227348 in words is "one hundred forty-seven billion, twenty-six million, two hundred twenty-seven thousand, three hundred forty-eight".