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2067242148 = 223429220013
BaseRepresentation
bin111101100110111…
…1001110010100100
312100001212210010000
41323031321302210
513213203222043
6541044101300
7102141161016
oct17315716244
95301783100
102067242148
119709a4694
12498394830
1326c38b80a
141587a01b6
15c17462d3
hex7b379ca4

2067242148 has 60 divisors (see below), whose sum is σ = 5590555740. Its totient is φ = 665316288.

The previous prime is 2067242141. The next prime is 2067242159. The reversal of 2067242148 is 8412427602.

It can be written as a sum of positive squares in 2 ways, for example, as 1164720384 + 902521764 = 34128^2 + 30042^2 .

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 (2067242141) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100611 + ... + 119402.

It is an arithmetic number, because the mean of its divisors is an integer number (93175929).

Almost surely, 22067242148 is an apocalyptic number.

It is an amenable number.

2067242148 is an abundant number, since it is smaller than the sum of its proper divisors (3523313592).

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

2067242148 is a wasteful number, since it uses less digits than its factorization.

2067242148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220058 (or 220047 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2067242148 is about 45466.9346668543. The cubic root of 2067242148 is about 1273.8856644293.

The spelling of 2067242148 in words is "two billion, sixty-seven million, two hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 9396 220013 440026 660039 880052 1320078 1980117 2640156 3960234 5940351 6380377 7920468 11880702 12760754 17821053 19141131 23761404 25521508 35642106 38282262 57423393 71284212 76564524 114846786 172270179 229693572 344540358 516810537 689080716 1033621074 2067242148