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2254132032 = 263194713147
BaseRepresentation
bin1000011001011011…
…0101001101000000
312211002112202211120
42012112311031000
514104024211112
61011401512240
7106600543335
oct20626651500
95732482746
102254132032
11a57442839
1252aaa2680
1329c005749
1417552c98c
15d2d60e8c
hex865b5340

2254132032 has 112 divisors (see below), whose sum is σ = 6412016640. Its totient is φ = 696632832.

The previous prime is 2254132007. The next prime is 2254132057. The reversal of 2254132032 is 2302314522.

It is an interprime number because it is at equal distance from previous prime (2254132007) and next prime (2254132057).

It is a super-2 number, since 2×22541320322 = 10162222435376898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2254131993 and 2254132011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164883 + ... + 178029.

Almost surely, 22254132032 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 2254132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3206008320).

2254132032 is an abundant number, since it is smaller than the sum of its proper divisors (4157884608).

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

2254132032 is a wasteful number, since it uses less digits than its factorization.

2254132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13228 (or 13218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2254132032 is about 47477.7003655400. The cubic root of 2254132032 is about 1311.1723537758.

Adding to 2254132032 its reverse (2302314522), we get a palindrome (4556446554).

The spelling of 2254132032 in words is "two billion, two hundred fifty-four million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 376 456 564 608 752 893 912 1128 1216 1504 1786 1824 2256 2679 3008 3572 3648 4512 5358 7144 9024 10716 13147 14288 21432 26294 28576 39441 42864 52588 57152 78882 85728 105176 157764 171456 210352 249793 315528 420704 499586 617909 631056 749379 841408 999172 1235818 1262112 1498758 1853727 1998344 2471636 2524224 2997516 3707454 3996688 4943272 5995032 7414908 7993376 9886544 11740271 11990064 14829816 15986752 19773088 23480542 23980128 29659632 35220813 39546176 46961084 47960256 59319264 70441626 93922168 118638528 140883252 187844336 281766504 375688672 563533008 751377344 1127066016 2254132032