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22254034220440 = 23511292776296197
BaseRepresentation
bin1010000111101011010111…
…10011011111010110011000
32220210110112220111211210221
411003311223303133112120
510404102230230023230
6115155210122045424
74454541466540231
oct503655363372630
986713486454727
1022254034220440
1170aa979179650
1225b4b93049874
13c5571464a679
1456d15b220088
15288d29e1227a
hex143d6bcdf598

22254034220440 has 128 divisors (see below), whose sum is σ = 56711114625600. Its totient is φ = 7785120430080.

The previous prime is 22254034220401. The next prime is 22254034220447. The reversal of 22254034220440 is 4402243045222.

It is a junction number, because it is equal to n+sod(n) for n = 22254034220396 and 22254034220405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22254034220447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386422 + ... + 6682618.

Almost surely, 222254034220440 is an apocalyptic number.

22254034220440 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 22254034220440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28355557312800).

22254034220440 is an abundant number, since it is smaller than the sum of its proper divisors (34457080405160).

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

22254034220440 is a wasteful number, since it uses less digits than its factorization.

22254034220440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6296525 (or 6296521 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 22254034220440 its reverse (4402243045222), we get a palindrome (26656277265662).

The spelling of 22254034220440 in words is "twenty-two trillion, two hundred fifty-four billion, thirty-four million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 277 290 319 440 554 580 638 1108 1160 1276 1385 1595 2216 2552 2770 3047 3190 5540 6094 6380 8033 11080 12188 12760 15235 16066 24376 30470 32132 40165 60940 64264 80330 88363 121880 160660 176726 321320 353452 441815 706904 883630 1767260 3534520 6296197 12592394 25184788 31480985 50369576 62961970 69258167 125923940 138516334 182589713 251847880 277032668 346290835 365179426 554065336 692581670 730358852 912948565 1385163340 1460717704 1744046569 1825897130 2008486843 2770326680 3488093138 3651794260 4016973686 6976186276 7303588520 8033947372 8720232845 10042434215 13952372552 16067894744 17440465690 19184512259 20084868430 34880931380 38369024518 40169736860 50577350501 69761862760 76738049036 80339473720 95922561295 101154701002 153476098072 191845122590 202309402004 252886752505 383690245180 404618804008 505773505010 556350855511 767380490360 1011547010020 1112701711022 2023094020040 2225403422044 2781754277555 4450806844088 5563508555110 11127017110220 22254034220440