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22145303424 = 273415713873
BaseRepresentation
bin10100100111111101…
…101000001110000000
32010011100021222022010
4110213331220032000
5330323144202144
614101242412520
71412531654556
oct244775501600
963140258263
1022145303424
1194344a0262
124360501140
13211bc9824a
1411011a5bd6
158992815b9
hex527f68380

22145303424 has 64 divisors (see below), whose sum is σ = 58841853840. Its totient is φ = 7379460096.

The previous prime is 22145303423. The next prime is 22145303431. The reversal of 22145303424 is 42430354122.

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

It is a super-2 number, since 2×221453034242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22145303391 and 22145303400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22145303423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1589352 + ... + 1603224.

Almost surely, 222145303424 is an apocalyptic number.

22145303424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22145303424 is an abundant number, since it is smaller than the sum of its proper divisors (36696550416).

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

22145303424 is a wasteful number, since it uses less digits than its factorization.

22145303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18047 (or 18035 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22145303424 its reverse (42430354122), we get a palindrome (64575657546).

The spelling of 22145303424 in words is "twenty-two billion, one hundred forty-five million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4157 8314 12471 13873 16628 24942 27746 33256 41619 49884 55492 66512 83238 99768 110984 133024 166476 199536 221968 266048 332952 399072 443936 532096 665904 798144 887872 1331808 1596288 1775744 2663616 5327232 57670061 115340122 173010183 230680244 346020366 461360488 692040732 922720976 1384081464 1845441952 2768162928 3690883904 5536325856 7381767808 11072651712 22145303424