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2251054336 = 28193114929
BaseRepresentation
bin1000011000101100…
…0101110100000000
312210212202102000211
42012023011310000
514102232214321
61011211523504
7106532434426
oct20613056400
95725672024
102251054336
11a55730493
12529a59594
1329b49891b
14174d6b116
15d29540e1
hex862c5d00

2251054336 has 72 divisors (see below), whose sum is σ = 4882707200. Its totient is φ = 1031823360.

The previous prime is 2251054313. The next prime is 2251054339. The reversal of 2251054336 is 6334501522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2251054298 and 2251054307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251054339) by changing a digit.

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, 143320 + ... + 158248.

Almost surely, 22251054336 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 2251054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441353600).

2251054336 is an abundant number, since it is smaller than the sum of its proper divisors (2631652864).

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

2251054336 is a wasteful number, since it uses less digits than its factorization.

2251054336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14995 (or 14981 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 2251054336 is about 47445.2772781443. The cubic root of 2251054336 is about 1310.5753423277.

Adding to 2251054336 its reverse (6334501522), we get a palindrome (8585555858).

It can be divided in two parts, 225105 and 4336, that added together give a square (229441 = 4792).

The spelling of 2251054336 in words is "two billion, two hundred fifty-one million, fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 496 589 608 992 1178 1216 1984 2356 2432 3968 4712 4864 7936 9424 14929 18848 29858 37696 59716 75392 119432 150784 238864 283651 462799 477728 567302 925598 955456 1134604 1851196 1910912 2269208 3702392 3821824 4538416 7404784 8793181 9076832 14809568 17586362 18153664 29619136 35172724 36307328 59238272 70345448 72614656 118476544 140690896 281381792 562763584 1125527168 2251054336