Search a number
-
+
842384374225 = 522343472
BaseRepresentation
bin11000100001000100000…
…01010111100111010001
32222112100012211001000121
430100202001113213101
5102300200344433400
61442552552350241
7114601033016122
oct14204201274721
92875305731017
10842384374225
112a5287022449
121173149a5381
136158a006454
142cab3486049
1516da42b521a
hexc4220579d1

842384374225 has 45 divisors (see below), whose sum is σ = 1095192448987. Its totient is φ = 642749515760.

The previous prime is 842384374217. The next prime is 842384374229. The reversal of 842384374225 is 522473483248.

It is a happy number.

The square root of 842384374225 is 917815.

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

It can be written as a sum of positive squares in only one way, i.e., 303258374721 + 539125999504 = 550689^2 + 734252^2 .

It is not a de Polignac number, because 842384374225 - 23 = 842384374217 is a prime.

It is a super-2 number, since 2×8423843742252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (842384374229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2427620502 + ... + 2427620848.

Almost surely, 2842384374225 is an apocalyptic number.

842384374225 is the 917815-th square number.

842384374225 is the 458908-th centered octagonal number.

It is an amenable number.

842384374225 is a deficient number, since it is larger than the sum of its proper divisors (252808074762).

842384374225 is an frugal number, since it uses more digits than its factorization.

842384374225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 375 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 52.

It can be divided in two parts, 842384 and 374225, that added together give a square (1216609 = 11032).

The spelling of 842384374225 in words is "eight hundred forty-two billion, three hundred eighty-four million, three hundred seventy-four thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 347 529 575 1735 2645 7981 8675 12167 13225 39905 60835 120409 183563 199525 279841 304175 602045 917815 1399205 2769407 3010225 4221949 4589075 6996025 13847035 21109745 63696361 69235175 97104827 105548725 318481805 485524135 1465016303 1592409025 2427620675 7325081515 33695374969 36625407575 168476874845 842384374225