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22092022719424 = 2672411913106961
BaseRepresentation
bin1010000010111101100110…
…01010101010001111000000
32220012222101001021212011101
411001132303022222033000
510343423430304010144
6114552533553224144
74440044626521460
oct501366312521700
986188331255141
1022092022719424
1170481a0983a59
1225896b9862054
13c4336573a878
1456538c4d9ba0
152849e6a8e6d4
hex1417b32aa3c0

22092022719424 has 112 divisors (see below), whose sum is σ = 50336211093696. Its totient is φ = 9423706521600.

The previous prime is 22092022719421. The next prime is 22092022719461. The reversal of 22092022719424 is 42491722029022.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×220920227194243 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22092022719421) 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, 206489304 + ... + 206596264.

Almost surely, 222092022719424 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 22092022719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25168105546848).

22092022719424 is an abundant number, since it is smaller than the sum of its proper divisors (28244188374272).

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

22092022719424 is a wasteful number, since it uses less digits than its factorization.

22092022719424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109134 (or 109124 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 22092022719424 in words is "twenty-two trillion, ninety-two billion, twenty-two million, seven hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 241 448 482 964 1687 1913 1928 3374 3826 3856 6748 7652 7712 13391 13496 15304 15424 26782 26992 30608 53564 53984 61216 106961 107128 107968 122432 213922 214256 427844 428512 461033 748727 855688 857024 922066 1497454 1711376 1844132 2994908 3227231 3422752 3688264 5989816 6454462 6845504 7376528 11979632 12908924 14753056 23959264 25777601 25817848 29506112 47918528 51555202 51635696 103110404 103271392 180443207 204616393 206220808 206542784 360886414 409232786 412441616 721772828 818465572 824883232 1432314751 1443545656 1636931144 1649766464 2864629502 2887091312 3273862288 5729259004 5774182624 6547724576 11458518008 11548365248 13095449152 22917036016 45834072032 49312550713 91668144064 98625101426 197250202852 345187854991 394500405704 690375709982 789000811408 1380751419964 1578001622816 2761502839928 3156003245632 5523005679856 11046011359712 22092022719424