Search a number
-
+
3776225401 = 1322921632
BaseRepresentation
bin1110000100010100…
…1010000001111001
3100202011122010102001
43201011022001321
530213203203101
61422413341001
7162402246334
oct34105120171
910664563361
103776225401
111668643043
12894797761
13482461c00
1427b74361b
151717c1901
hexe114a079

3776225401 has 27 divisors (see below), whose sum is σ = 4261053069. Its totient is φ = 3344900832.

The previous prime is 3776225389. The next prime is 3776225407. The reversal of 3776225401 is 1045226773.

It is a happy number.

The square root of 3776225401 is 61451.

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

It can be written as a sum of positive squares in 4 ways, for example, as 484220025 + 3292005376 = 22005^2 + 57376^2 .

It is not a de Polignac number, because 3776225401 - 29 = 3776224889 is a prime.

It is a super-2 number, since 2×37762254012 = 28519756558315221602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3776225407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23166946 + ... + 23167108.

Almost surely, 23776225401 is an apocalyptic number.

3776225401 is the 61451-st square number.

3776225401 is the 30726-th centered octagonal number.

It is an amenable number.

3776225401 is a deficient number, since it is larger than the sum of its proper divisors (484827668).

3776225401 is an equidigital number, since it uses as much as digits as its factorization.

3776225401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The cubic root of 3776225401 is about 1557.2295503827.

The spelling of 3776225401 in words is "three billion, seven hundred seventy-six million, two hundred twenty-five thousand, four hundred one".

Divisors: 1 13 29 163 169 377 841 2119 4727 4901 10933 26569 27547 61451 137083 142129 345397 770501 798863 1782079 4490161 10016513 22344529 23167027 130214669 290478877 3776225401