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2252067732 = 2233295313567
BaseRepresentation
bin1000011000111011…
…1101001110010100
312210221122220011000
42012032331032110
514103012131412
61011245343300
7106544155065
oct20616751624
95727586130
102252067732
11a56262902
1252a267b30
1329b761c75
1417515256c
15d2aa44dc
hex863bd394

2252067732 has 96 divisors (see below), whose sum is σ = 6154444800. Its totient is φ = 711075456.

The previous prime is 2252067691. The next prime is 2252067733. The reversal of 2252067732 is 2377602522.

2252067732 is a `hidden beast` number, since 2 + 2 + 520 + 67 + 73 + 2 = 666.

2252067732 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252067733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159213 + ... + 172779.

It is an arithmetic number, because the mean of its divisors is an integer number (64108800).

Almost surely, 22252067732 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 2252067732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077222400).

2252067732 is an abundant number, since it is smaller than the sum of its proper divisors (3902377068).

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

2252067732 is a wasteful number, since it uses less digits than its factorization.

2252067732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13662 (or 13654 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2252067732 is about 47455.9557063178. The cubic root of 2252067732 is about 1310.7719809332.

The spelling of 2252067732 in words is "two billion, two hundred fifty-two million, sixty-seven thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 53 54 58 87 106 108 116 159 174 212 261 318 348 477 522 636 783 954 1044 1431 1537 1566 1908 2862 3074 3132 4611 5724 6148 9222 13567 13833 18444 27134 27666 40701 41499 54268 55332 81402 82998 122103 162804 165996 244206 366309 393443 488412 719051 732618 786886 1180329 1438102 1465236 1573772 2157153 2360658 2876204 3540987 4314306 4721316 6471459 7081974 8628612 10622961 12942918 14163948 19414377 20852479 21245922 25885836 38828754 41704958 42491844 62557437 77657508 83409916 125114874 187672311 250229748 375344622 563016933 750689244 1126033866 2252067732