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225346643522 = 271113293938299
BaseRepresentation
bin1101000111011110110…
…1001110011001000010
3210112122210110120211022
43101313231032121002
512143002220043042
6251304532345442
722165204602620
oct3216755163102
9715583416738
10225346643522
118762933a680
1237810175282
1318333604bb0
14ac9a500510
155cdd7bacd2
hex3477b4e642

225346643522 has 64 divisors (see below), whose sum is σ = 454011264000. Its totient is φ = 81014057280.

The previous prime is 225346643503. The next prime is 225346643527.

It is a happy number.

225346643522 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2253466435222 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (225346643527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5864729 + ... + 5903027.

It is an arithmetic number, because the mean of its divisors is an integer number (7093926000).

Almost surely, 2225346643522 is an apocalyptic number.

225346643522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

225346643522 is an abundant number, since it is smaller than the sum of its proper divisors (228664620478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225346643522 is a wasteful number, since it uses less digits than its factorization.

225346643522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41271.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 225346 and 643522, that added together give a palindrome (868868).

The spelling of 225346643522 in words is "two hundred twenty-five billion, three hundred forty-six million, six hundred forty-three thousand, five hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 2939 5878 20573 32329 38207 38299 41146 64658 76414 76598 226303 267449 268093 420277 421289 452606 497887 534898 536186 840554 842578 995774 2941939 2949023 3485209 5476757 5883878 5898046 6970418 10953514 38337299 76674598 112560761 225121522 787925327 1238168371 1463289893 1575850654 2476336742 2926579786 8667178597 10243029251 16096188823 17334357194 20486058502 32192377646 112673321761 225346643522