Search a number
-
+
22679468010 = 23251312697151
BaseRepresentation
bin10101000111110011…
…010011011111101010
32011112120102100100200
4111013303103133222
5332421420434020
614230243413030
71432006203663
oct250763233752
964476370320
1022679468010
119688a71aa1
12448b384176
1321a5852a74
1411520d236a
158cb0e7590
hex547cd37ea

22679468010 has 96 divisors (see below), whose sum is σ = 59645963520. Its totient is φ = 5978544000.

The previous prime is 22679467999. The next prime is 22679468011. The reversal of 22679468010 is 1086497622.

It is a happy number.

It is a super-2 number, since 2×226794680102 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22679468011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3167935 + ... + 3175085.

It is an arithmetic number, because the mean of its divisors is an integer number (621312120).

Almost surely, 222679468010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22679468010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29822981760).

22679468010 is an abundant number, since it is smaller than the sum of its proper divisors (36966495510).

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

22679468010 is a wasteful number, since it uses less digits than its factorization.

22679468010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7564 (or 7561 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 22679468010 in words is "twenty-two billion, six hundred seventy-nine million, four hundred sixty-eight thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 269 393 538 655 786 807 1179 1310 1345 1614 1965 2358 2421 2690 3930 4035 4842 5895 7151 8070 11790 12105 14302 21453 24210 35239 35755 42906 64359 70478 71510 105717 107265 128718 176195 211434 214530 317151 321795 352390 528585 634302 643590 936781 1057170 1585755 1873562 1923619 2810343 3171510 3847238 4683905 5620686 5770857 8431029 9367810 9618095 11541714 14051715 16862058 17312571 19236190 28103430 28854285 34625142 42155145 57708570 84310290 86562855 173125710 251994089 503988178 755982267 1259970445 1511964534 2267946801 2519940890 3779911335 4535893602 7559822670 11339734005 22679468010