Search a number
-
+
22048062333152 = 252947946353419
BaseRepresentation
bin1010000001101011101101…
…11011000110000011100000
32220001202220101001212000212
411000311312323012003200
510342213412424130102
6114520423501433252
74433630352433142
oct500656673060340
986052811055025
1022048062333152
117030592439109
12258108b56b828
13c3c17b02669b
145631bbd6ac92
152837c2559c52
hex140d76ec60e0

22048062333152 has 96 divisors (see below), whose sum is σ = 45865027353600. Its totient is φ = 10416130518528.

The previous prime is 22048062333131. The next prime is 22048062333173. The reversal of 22048062333152 is 25133326084022.

It is an interprime number because it is at equal distance from previous prime (22048062333131) and next prime (22048062333173).

It is a super-2 number, since 2×220480623331522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 412711499 + ... + 412764917.

It is an arithmetic number, because the mean of its divisors is an integer number (477760701600).

Almost surely, 222048062333152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22048062333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932513676800).

22048062333152 is an abundant number, since it is smaller than the sum of its proper divisors (23816965020448).

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

22048062333152 is a wasteful number, since it uses less digits than its factorization.

22048062333152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62968 (or 62960 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 22048062333152 in words is "twenty-two trillion, forty-eight billion, sixty-two million, three hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 47 58 94 116 188 232 376 464 752 928 1363 1504 2726 5452 9463 10904 18926 21808 37852 43616 53419 75704 106838 151408 213676 274427 302816 427352 444761 548854 854704 889522 1097708 1549151 1709408 1779044 2195416 2510693 3098302 3558088 4390832 5021386 6196604 7116176 8781664 10042772 12393208 12898069 14232352 20085544 24786416 25796138 40171088 49572832 51592276 72810097 80342176 103184552 145620194 206369104 291240388 412738208 505503997 582480776 1011007994 1164961552 2022015988 2329923104 4044031976 8088063952 14659615913 16176127904 23758687859 29319231826 47517375718 58638463652 95034751436 117276927304 190069502872 234553854608 380139005744 469107709216 689001947911 760278011488 1378003895822 2756007791644 5512015583288 11024031166576 22048062333152