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2235423264 = 253194632647
BaseRepresentation
bin1000010100111101…
…1101101000100000
312202210100021020020
42011033131220200
514034232021024
61005452513440
7106252532664
oct20517355040
95683307206
102235423264
11a47924648
1252477b880
13298184c79
14172c5c8a4
15d13b7979
hex853dda20

2235423264 has 96 divisors (see below), whose sum is σ = 6192506880. Its totient is φ = 704132352.

The previous prime is 2235423257. The next prime is 2235423277. The reversal of 2235423264 is 4623245322.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843189 + ... + 845835.

It is an arithmetic number, because the mean of its divisors is an integer number (64505280).

Almost surely, 22235423264 is an apocalyptic number.

2235423264 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 2235423264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096253440).

2235423264 is an abundant number, since it is smaller than the sum of its proper divisors (3957083616).

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

2235423264 is a wasteful number, since it uses less digits than its factorization.

2235423264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142 (or 3134 counting only the distinct ones).

The product of its digits is 69120, while the sum is 33.

The square root of 2235423264 is about 47280.2629434313. The cubic root of 2235423264 is about 1307.5347970173.

Adding to 2235423264 its reverse (4623245322), we get a palindrome (6858668586).

The spelling of 2235423264 in words is "two billion, two hundred thirty-five million, four hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 463 608 912 926 1389 1824 1852 2647 2778 3704 5294 5556 7408 7941 8797 10588 11112 14816 15882 17594 21176 22224 26391 31764 35188 42352 44448 50293 52782 63528 70376 84704 100586 105564 127056 140752 150879 201172 211128 254112 281504 301758 402344 422256 603516 804688 844512 1207032 1225561 1609376 2414064 2451122 3676683 4828128 4902244 7353366 9804488 14706732 19608976 23285659 29413464 39217952 46571318 58826928 69856977 93142636 117653856 139713954 186285272 279427908 372570544 558855816 745141088 1117711632 2235423264