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2032219252 = 2271910337087
BaseRepresentation
bin111100100100001…
…0011010001110100
312020121222102201201
41321020103101310
513130222004002
6533353302244
7101234402320
oct17110232164
95217872651
102032219252
11953153448
12488704984
132650484cb
14153c84980
15bd629087
hex79213474

2032219252 has 48 divisors (see below), whose sum is σ = 4320010240. Its totient is φ = 817078752.

The previous prime is 2032219249. The next prime is 2032219261. The reversal of 2032219252 is 2529122302.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2032219252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36253 + ... + 73339.

Almost surely, 22032219252 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 2032219252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160005120).

2032219252 is an abundant number, since it is smaller than the sum of its proper divisors (2287790988).

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

2032219252 is a wasteful number, since it uses less digits than its factorization.

2032219252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37220 (or 37218 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 2032219252 is about 45080.1425463585. The cubic root of 2032219252 is about 1266.6506600316.

The spelling of 2032219252 in words is "two billion, thirty-two million, two hundred nineteen thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 38 76 103 133 206 266 412 532 721 1442 1957 2884 3914 7828 13699 27398 37087 54796 74174 148348 259609 519218 704653 1038436 1409306 2818612 3819961 4932571 7639922 9865142 15279844 19730284 26739727 53479454 72579259 106958908 145158518 290317036 508054813 1016109626 2032219252