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202920025 = 5272112372
BaseRepresentation
bin11000001100001…
…01000001011001
3112010211101221111
430012011001121
5403421420100
632045140321
75012535400
oct1406050131
9463741844
10202920025
11a45a7900
1257b5a6a1
133306a429
141cd42637
1512c346ba
hexc185059

202920025 has 81 divisors (see below), whose sum is σ = 330660477. Its totient is φ = 123076800.

The previous prime is 202920001. The next prime is 202920031. The reversal of 202920025 is 520029202.

The square root of 202920025 is 14245.

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 19263321 + 183656704 = 4389^2 + 13552^2 .

It is not a de Polignac number, because 202920025 - 25 = 202919993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202919978 and 202920005.

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, 5484307 + ... + 5484343.

Almost surely, 2202920025 is an apocalyptic number.

202920025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

202920025 is the 14245-th square number.

202920025 is the 7123-rd centered octagonal number.

It is an amenable number.

202920025 is a deficient number, since it is larger than the sum of its proper divisors (127740452).

202920025 is a wasteful number, since it uses less digits than its factorization.

202920025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The cubic root of 202920025 is about 587.6358762228.

Adding to 202920025 its reverse (520029202), we get a palindrome (722949227).

The spelling of 202920025 in words is "two hundred two million, nine hundred twenty thousand, twenty-five".

Divisors: 1 5 7 11 25 35 37 49 55 77 121 175 185 245 259 275 385 407 539 605 847 925 1225 1295 1369 1813 1925 2035 2695 2849 3025 4235 4477 5929 6475 6845 9065 9583 10175 13475 14245 15059 19943 21175 22385 29645 31339 34225 45325 47915 67081 71225 75295 99715 105413 111925 148225 156695 165649 219373 239575 335405 376475 498575 527065 737891 783475 828245 1096865 1159543 1677025 2635325 3689455 4141225 5484325 5797715 8116801 18447275 28988575 40584005 202920025