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242472532225 = 527211212792
BaseRepresentation
bin1110000111010001111…
…1010011100100000001
3212011212022211212120111
43201310133103210001
512433040432012400
6303220151511321
723342460342400
oct3416437234401
9764768755514
10242472532225
1193917472300
123abab688541
1319b32704651
14ba42bcd637
15649205d3ba
hex38747d3901

242472532225 has 81 divisors (see below), whose sum is σ = 384741443331. Its totient is φ = 151033528800.

The previous prime is 242472532163. The next prime is 242472532243. The reversal of 242472532225 is 522235274242.

The square root of 242472532225 is 492415.

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., 87290111601 + 155182420624 = 295449^2 + 393932^2 .

It is not a de Polignac number, because 242472532225 - 29 = 242472531713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 189579136 + ... + 189580414.

Almost surely, 2242472532225 is an apocalyptic number.

242472532225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

242472532225 is the 492415-th square number.

242472532225 is the 246208-th centered octagonal number.

It is an amenable number.

242472532225 is a deficient number, since it is larger than the sum of its proper divisors (142268911106).

242472532225 is an equidigital number, since it uses as much as digits as its factorization.

242472532225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 1302 counting only the distinct ones).

The product of its digits is 537600, while the sum is 40.

The spelling of 242472532225 in words is "two hundred forty-two billion, four hundred seventy-two million, five hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1279 1925 2695 3025 4235 5929 6395 8953 13475 14069 21175 29645 31975 44765 62671 70345 98483 148225 154759 223825 313355 351725 492415 689381 773795 1083313 1566775 1635841 2462075 3446905 3868975 5416565 7583191 8179205 11450887 17234525 17994251 27082825 37915955 40896025 57254435 80156209 89971255 125959757 189579775 197936761 286272175 400781045 449856275 629798785 881718299 989683805 1385557327 2003905225 3148993925 4408591495 4948419025 6927786635 9698901289 22042957475 34638933175 48494506445 242472532225