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202270248552 = 23353751211741
BaseRepresentation
bin1011110001100000111…
…1110000111001101000
3201100002120011021001010
42330120033300321220
511303222140423202
6232531025223520
720420305513311
oct2743017607150
9640076137033
10202270248552
1178867311579
123324ba91ba0
13160c6778508
149b0b807608
1553dc91a76c
hex2f183f0e68

202270248552 has 64 divisors (see below), whose sum is σ = 515905148160. Its totient is φ = 66062880000.

The previous prime is 202270248541. The next prime is 202270248619. The reversal of 202270248552 is 255842072202.

202270248552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 202270248552.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849402 + ... + 1061142.

It is an arithmetic number, because the mean of its divisors is an integer number (8061017940).

Almost surely, 2202270248552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202270248552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257952574080).

202270248552 is an abundant number, since it is smaller than the sum of its proper divisors (313634899608).

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

202270248552 is a wasteful number, since it uses less digits than its factorization.

202270248552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212554 (or 212550 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The spelling of 202270248552 in words is "two hundred two billion, two hundred seventy million, two hundred forty-eight thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 751 1272 1502 2253 3004 4506 6008 9012 18024 39803 79606 119409 159212 211741 238818 318424 423482 477636 635223 846964 955272 1270446 1693928 2540892 5081784 11222273 22444546 33666819 44889092 67333638 89778184 134667276 159017491 269334552 318034982 477052473 636069964 954104946 1272139928 1908209892 3816419784 8427927023 16855854046 25283781069 33711708092 50567562138 67423416184 101135124276 202270248552