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202257992253 = 31931217232143
BaseRepresentation
bin1011110001011110000…
…1000000101000111101
3201100001201002120120010
42330113201000220331
511303211021223003
6232525510413433
720420066365542
oct2742741005075
9640051076503
10202257992253
11788604001a9
1233247961279
13160c4076975
149b09d36bc9
1553db7e9003
hex2f17840a3d

202257992253 has 48 divisors (see below), whose sum is σ = 293630576640. Its totient is φ = 123491783520.

The previous prime is 202257992231. The next prime is 202257992351. The reversal of 202257992253 is 352299752202.

It is not a de Polignac number, because 202257992253 - 220 = 202256943677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202257992203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94379700 + ... + 94381842.

It is an arithmetic number, because the mean of its divisors is an integer number (6117303680).

Almost surely, 2202257992253 is an apocalyptic number.

It is an amenable number.

202257992253 is a deficient number, since it is larger than the sum of its proper divisors (91372584387).

202257992253 is a wasteful number, since it uses less digits than its factorization.

202257992253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 202257992253 in words is "two hundred two billion, two hundred fifty-seven million, nine hundred ninety-two thousand, two hundred fifty-three".

Divisors: 1 3 19 31 57 93 589 961 1723 1767 2143 2883 5169 6429 18259 32737 40717 53413 54777 66433 98211 122151 160239 199299 1014847 1262227 1655803 2059423 3044541 3692389 3786681 4967409 6178269 11077167 31460257 39129037 70155391 94380771 114464059 117387111 210466173 343392177 2174817121 3548385829 6524451363 10645157487 67419330751 202257992253