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225653134240 = 2552948632141
BaseRepresentation
bin1101001000100111111…
…0011001001110100000
3210120110011011221001101
43102021332121032200
512144114200243430
6251355201444144
722205615664562
oct3221176311640
9716404157041
10225653134240
1187776347696
1237896940654
1318381c66151
14acc90c3332
155d0a65cdca
hex3489f993a0

225653134240 has 48 divisors (see below), whose sum is σ = 551488490280. Its totient is φ = 87148794880.

The previous prime is 225653134237. The next prime is 225653134241. The reversal of 225653134240 is 42431356522.

It can be written as a sum of positive squares in 4 ways, for example, as 154477297296 + 71175836944 = 393036^2 + 266788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225653134240.

It is not an unprimeable number, because it can be changed into a prime (225653134241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24311431 + ... + 24320710.

Almost surely, 2225653134240 is an apocalyptic number.

225653134240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225653134240 is an abundant number, since it is smaller than the sum of its proper divisors (325835356040).

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

225653134240 is a wasteful number, since it uses less digits than its factorization.

225653134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48632185 (or 48632177 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 225653134240 in words is "two hundred twenty-five billion, six hundred fifty-three million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 48632141 97264282 194528564 243160705 389057128 486321410 778114256 972642820 1410332089 1556228512 1945285640 2820664178 3890571280 5641328356 7051660445 7781142560 11282656712 14103320890 22565313424 28206641780 45130626848 56413283560 112826567120 225653134240