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2253797532 = 2232727191777
BaseRepresentation
bin1000011001010110…
…0011100010011100
312211001220202222200
42012111203202130
514103433010112
61011350411500
7106564651200
oct20625434234
95731822880
102253797532
11a57234498
1252a960b90
1329bc1940c
14175482b00
15d2ce6cdc
hex8656389c

2253797532 has 108 divisors (see below), whose sum is σ = 6640189920. Its totient is φ = 642684672.

The previous prime is 2253797489. The next prime is 2253797563. The reversal of 2253797532 is 2357973522.

2253797532 is a `hidden beast` number, since 2 + 25 + 3 + 7 + 97 + 532 = 666.

Its product of digits (793800) is a multiple of the sum of its prime factors (2520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267428 + ... + 1269204.

It is an arithmetic number, because the mean of its divisors is an integer number (61483240).

Almost surely, 22253797532 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 2253797532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320094960).

2253797532 is an abundant number, since it is smaller than the sum of its proper divisors (4386392388).

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

2253797532 is a wasteful number, since it uses less digits than its factorization.

2253797532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2508 counting only the distinct ones).

The product of its digits is 793800, while the sum is 45.

The square root of 2253797532 is about 47474.1775284206. The cubic root of 2253797532 is about 1311.1074937998.

The spelling of 2253797532 in words is "two billion, two hundred fifty-three million, seven hundred ninety-seven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 719 882 1438 1764 1777 2157 2876 3554 4314 5033 5331 6471 7108 8628 10066 10662 12439 12942 15099 15993 20132 21324 24878 25884 30198 31986 35231 37317 45297 49756 60396 63972 70462 74634 87073 90594 105693 111951 140924 149268 174146 181188 211386 223902 261219 317079 348292 422772 447804 522438 634158 783657 1044876 1268316 1277663 1567314 2555326 3134628 3832989 5110652 7665978 8943641 11498967 15331956 17887282 22997934 26830923 35774564 45995868 53661846 62605487 80492769 107323692 125210974 160985538 187816461 250421948 321971076 375632922 563449383 751265844 1126898766 2253797532