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2232325504 = 27198311059
BaseRepresentation
bin1000010100001110…
…1001010110000000
312202120111212220101
42011003221112000
514032433404004
61005302252144
7106214311423
oct20503512600
95676455811
102232325504
11a460a9212
12523727054
1329763bc86
141726939ba
15d0ea4ba4
hex850e9580

2232325504 has 64 divisors (see below), whose sum is σ = 4738104000. Its totient is φ = 1044582912.

The previous prime is 2232325493. The next prime is 2232325553. The reversal of 2232325504 is 4055232322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×22323255043 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196327 + ... + 207385.

It is an arithmetic number, because the mean of its divisors is an integer number (74032875).

Almost surely, 22232325504 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 2232325504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369052000).

2232325504 is an abundant number, since it is smaller than the sum of its proper divisors (2505778496).

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

2232325504 is a wasteful number, since it uses less digits than its factorization.

2232325504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11175 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2232325504 is about 47247.4920392607. The cubic root of 2232325504 is about 1306.9305413679.

Adding to 2232325504 its reverse (4055232322), we get a palindrome (6287557826).

The spelling of 2232325504 in words is "two billion, two hundred thirty-two million, three hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 304 332 608 664 1216 1328 1577 2432 2656 3154 5312 6308 10624 11059 12616 22118 25232 44236 50464 88472 100928 176944 201856 210121 353888 420242 707776 840484 917897 1415552 1680968 1835794 3361936 3671588 6723872 7343176 13447744 14686352 17440043 26895488 29372704 34880086 58745408 69760172 117490816 139520344 279040688 558081376 1116162752 2232325504