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3201205252 = 22729972419
BaseRepresentation
bin1011111011001110…
…1000010000000100
322021002122002001111
42332303220100010
523024002032002
61245352534404
7142220536630
oct27663502004
98232562044
103201205252
1113a2aa6983
127540b1404
133c02a12bb
1422521ddc0
1513b08a3d7
hexbece8404

3201205252 has 72 divisors (see below), whose sum is σ = 6708139200. Its totient is φ = 1307851776.

The previous prime is 3201205199. The next prime is 3201205313. The reversal of 3201205252 is 2525021023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7639899 + ... + 7640317.

It is an arithmetic number, because the mean of its divisors is an integer number (93168600).

Almost surely, 23201205252 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 3201205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354069600).

3201205252 is an abundant number, since it is smaller than the sum of its proper divisors (3506933948).

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

3201205252 is a wasteful number, since it uses less digits than its factorization.

3201205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 3201205252 is about 56579.1945152986. The cubic root of 3201205252 is about 1473.7975839977.

Adding to 3201205252 its reverse (2525021023), we get a palindrome (5726226275).

The spelling of 3201205252 in words is "three billion, two hundred one million, two hundred five thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 29 58 97 116 194 203 388 406 419 679 812 838 1358 1676 2716 2813 2933 5626 5866 9409 11252 11732 12151 18818 19691 24302 37636 39382 40643 48604 65863 78764 81286 85057 131726 162572 170114 263452 272861 284501 340228 545722 569002 1091444 1138004 1178647 1910027 2357294 3820054 3942371 4714588 7640108 7884742 8250529 15769484 16501058 27596597 33002116 55193194 110386388 114328759 228657518 457315036 800301313 1600602626 3201205252