Search a number
-
+
2278297416409 = 7238325632
BaseRepresentation
bin100001001001110101000…
…110111011001011011001
322001210200110112101211221
4201021311012323023121
5244311423114311114
64502345124252041
7323413222341100
oct41116506731331
98053613471757
102278297416409
117a9247550893
12309671241021
13136ac5045b31
147c3ad551037
153e3e520b524
hex212751bb2d9

2278297416409 has 27 divisors (see below), whose sum is σ = 2661930261813. Its totient is φ = 1944268041912.

The previous prime is 2278297416401. The next prime is 2278297416427. The reversal of 2278297416409 is 9046147928722.

The square root of 2278297416409 is 1509403.

It is a perfect power (a square), and thus also a powerful number.

2278297416409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2278297416409 - 23 = 2278297416401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2278297416401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4046709162 + ... + 4046709724.

Almost surely, 22278297416409 is an apocalyptic number.

2278297416409 is the 1509403-rd square number.

2278297416409 is the 754702-nd centered octagonal number.

It is an amenable number.

2278297416409 is a deficient number, since it is larger than the sum of its proper divisors (383632845404).

2278297416409 is an frugal number, since it uses more digits than its factorization.

2278297416409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 61.

The spelling of 2278297416409 in words is "two trillion, two hundred seventy-eight billion, two hundred ninety-seven million, four hundred sixteen thousand, four hundred nine".

Divisors: 1 7 49 383 563 2681 3941 18767 27587 146689 215629 316969 1026823 1509403 2218783 7187761 10565821 15531481 82585907 121399127 578101349 849793889 4046709443 5948557223 46495865641 325471059487 2278297416409