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2252720064 = 26375928409
BaseRepresentation
bin1000011001000101…
…1100011111000000
312210222220000222110
42012101130133000
514103144020224
61011311335320
7106552542660
oct20621343700
95728800873
102252720064
11a56668a21
1252a521540
1329b92cb6a
141752821a0
15d2b82929
hex8645c7c0

2252720064 has 112 divisors (see below), whose sum is σ = 6927494400. Its totient is φ = 632702976.

The previous prime is 2252720017. The next prime is 2252720081. The reversal of 2252720064 is 4600272522.

It is a tau number, because it is divible by the number of its divisors (112).

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, 65092 + ... + 93500.

Almost surely, 22252720064 is an apocalyptic number.

2252720064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252720064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3463747200).

2252720064 is an abundant number, since it is smaller than the sum of its proper divisors (4674774336).

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

2252720064 is a wasteful number, since it uses less digits than its factorization.

2252720064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28490 (or 28480 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2252720064 is about 47462.8282343141. The cubic root of 2252720064 is about 1310.8985277433.

Adding to 2252720064 its reverse (4600272522), we get a palindrome (6852992586).

The spelling of 2252720064 in words is "two billion, two hundred fifty-two million, seven hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2832 3304 3776 4956 5664 6608 9912 11328 13216 19824 26432 28409 39648 56818 79296 85227 113636 170454 198863 227272 340908 397726 454544 596589 681816 795452 909088 1193178 1363632 1590904 1676131 1818176 2386356 2727264 3181808 3352262 4772712 5028393 5454528 6363616 6704524 9545424 10056786 11732917 12727232 13409048 19090848 20113572 23465834 26818096 35198751 38181696 40227144 46931668 53636192 70397502 80454288 93863336 107272384 140795004 160908576 187726672 281590008 321817152 375453344 563180016 750906688 1126360032 2252720064