Search a number
-
+
2285657161921 = 7231269672
BaseRepresentation
bin100001010000101011110…
…010001000000011000001
322002111200101012012201001
4201100223302020003001
5244422011213140141
64510003313212001
7324063500214100
oct41205362100301
98074611165631
102285657161921
118013839765a1
1230ab85b61001
131376c8a37a33
147c8aab94037
153e6c63d6a31
hex2142bc880c1

2285657161921 has 27 divisors (see below), whose sum is σ = 2747755372257. Its totient is φ = 1895664685320.

The previous prime is 2285657161841. The next prime is 2285657161969. The reversal of 2285657161921 is 1291617565822.

It is a happy number.

The square root of 2285657161921 is 1511839.

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

It is not a de Polignac number, because 2285657161921 - 29 = 2285657161409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2285657161121) 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, 328065580 + ... + 328072546.

It is an arithmetic number, because the mean of its divisors is an integer number (101768717491).

Almost surely, 22285657161921 is an apocalyptic number.

2285657161921 is the 1511839-th square number.

2285657161921 is the 755920-th centered octagonal number.

It is an amenable number.

2285657161921 is a deficient number, since it is larger than the sum of its proper divisors (462098210336).

2285657161921 is an frugal number, since it uses more digits than its factorization.

2285657161921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14010 (or 7005 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 55.

It can be divided in two parts, 2285657 and 161921, that added together give a triangular number (2447578 = T2212).

The spelling of 2285657161921 in words is "two trillion, two hundred eighty-five billion, six hundred fifty-seven million, one hundred sixty-one thousand, nine hundred twenty-one".

Divisors: 1 7 31 49 217 961 1519 6727 6967 47089 48769 215977 341383 1511839 6695287 10582873 46867009 48539089 328069063 339773623 1504711759 2378415361 10532982313 46646064529 73730876191 326522451703 2285657161921