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2148297616 = 241759263509
BaseRepresentation
bin1000000000001100…
…0110101110010000
312112201101211022101
42000003012232100
513344431010431
6553101250144
7104144141233
oct20003065620
95481354271
102148297616
11a02726883
124bb563954
132830cb42a
1416545d41a
15c8907961
hex800c6b90

2148297616 has 80 divisors (see below), whose sum is σ = 4507747200. Its totient is φ = 988104704.

The previous prime is 2148297611. The next prime is 2148297617. The reversal of 2148297616 is 6167928412.

It is a super-2 number, since 2×21482976162 = 9230365293822566912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2148297611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4220370 + ... + 4220878.

It is an arithmetic number, because the mean of its divisors is an integer number (56346840).

Almost surely, 22148297616 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 2148297616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253873600).

2148297616 is an abundant number, since it is smaller than the sum of its proper divisors (2359449584).

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

2148297616 is a wasteful number, since it uses less digits than its factorization.

2148297616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 850 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 2148297616 is about 46349.7315634082. The cubic root of 2148297616 is about 1290.3221389666.

The spelling of 2148297616 in words is "two billion, one hundred forty-eight million, two hundred ninety-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 236 263 272 472 509 526 944 1003 1018 1052 2006 2036 2104 4012 4072 4208 4471 8024 8144 8653 8942 15517 16048 17306 17884 30031 31034 34612 35768 60062 62068 69224 71536 120124 124136 133867 138448 240248 248272 263789 267734 480496 510527 527578 535468 1021054 1055156 1070936 2042108 2110312 2141872 2275739 4084216 4220624 4551478 7898153 8168432 9102956 15796306 18205912 31592612 36411824 63185224 126370448 134268601 268537202 537074404 1074148808 2148297616