Search a number
-
+
22334534442 = 232113710312957
BaseRepresentation
bin10100110011001111…
…011111001100101010
32010122112100220110100
4110303033133030222
5331220120100232
614132122330230
71420320260523
oct246317371452
963575326410
1022334534442
119521298330
1243b3959976
13214c25196c
14111c38384a
158aabaec7c
hex5333df32a

22334534442 has 96 divisors (see below), whose sum is σ = 54288434304. Its totient is φ = 6576508800.

The previous prime is 22334534441. The next prime is 22334534461. The reversal of 22334534442 is 24443543322.

22334534442 is a `hidden beast` number, since 2 + 233 + 45 + 344 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22334534397 and 22334534406.

It is not an unprimeable number, because it can be changed into a prime (22334534441) 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, 7551628 + ... + 7554584.

It is an arithmetic number, because the mean of its divisors is an integer number (565504524).

Almost surely, 222334534442 is an apocalyptic number.

22334534442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22334534442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27144217152).

22334534442 is an abundant number, since it is smaller than the sum of its proper divisors (31953899862).

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

22334534442 is a wasteful number, since it uses less digits than its factorization.

22334534442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4041 counting only the distinct ones).

The product of its digits is 276480, while the sum is 36.

The spelling of 22334534442 in words is "twenty-two billion, three hundred thirty-four million, five hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1031 1221 2062 2442 2957 3093 3663 5914 6186 7326 8871 9279 11341 17742 18558 22682 26613 32527 34023 38147 53226 65054 68046 76294 97581 102069 109409 114441 195162 204138 218818 228882 292743 328227 343323 419617 585486 656454 686646 839234 984681 1203499 1258851 1969362 2406998 2517702 3048667 3610497 3776553 6097334 7220994 7553106 9146001 10831491 18292002 21662982 27438003 33535337 54876006 67070674 100606011 112800679 201212022 225601358 301818033 338402037 603636066 676804074 1015206111 1240807469 2030412222 2481614938 3722422407 7444844814 11167267221 22334534442