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22353654340 = 2253756953089
BaseRepresentation
bin10100110100011000…
…011011001001000100
32010200212100022000201
4110310120123021010
5331240013414330
614134044220244
71420641632623
oct246430331104
963625308021
1022353654340
1195310673a6
1243ba23a684
1321531b7604
141120b1d6ba
158ac6d9eca
hex53461b244

22353654340 has 48 divisors (see below), whose sum is σ = 48297034800. Its totient is φ = 8684347392.

The previous prime is 22353654317. The next prime is 22353654347. The reversal of 22353654340 is 4345635322.

It can be written as a sum of positive squares in 8 ways, for example, as 1796403456 + 20557250884 = 42384^2 + 143378^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 22353654340.

It is not an unprimeable number, because it can be changed into a prime (22353654347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394516 + ... + 447604.

It is an arithmetic number, because the mean of its divisors is an integer number (1006188225).

Almost surely, 222353654340 is an apocalyptic number.

22353654340 is a gapful number since it is divisible by the number (20) 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 22353654340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24148517400).

22353654340 is an abundant number, since it is smaller than the sum of its proper divisors (25943380460).

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

22353654340 is a wasteful number, since it uses less digits than its factorization.

22353654340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53704 (or 53702 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

The spelling of 22353654340 in words is "twenty-two billion, three hundred fifty-three million, six hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 569 740 1138 2276 2845 5690 11380 21053 42106 53089 84212 105265 106178 210530 212356 265445 421060 530890 1061780 1964293 3928586 7857172 9821465 19642930 30207641 39285860 60415282 120830564 151038205 302076410 604152820 1117682717 2235365434 4470730868 5588413585 11176827170 22353654340