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22049671040 = 275791094001
BaseRepresentation
bin10100100010010000…
…110100011110000000
32002220200100100022222
4110202100310132000
5330124203433130
614043544550212
71410261053135
oct244220643600
962820310288
1022049671040
119395512231
124334482368
132105223737
1410d25d058c
15890b90ce5
hex522434780

22049671040 has 128 divisors (see below), whose sum is σ = 53882928000. Its totient is φ = 8626176000.

The previous prime is 22049671013. The next prime is 22049671043. The reversal of 22049671040 is 4017694022.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22049671043) 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, 5509040 + ... + 5513040.

It is an arithmetic number, because the mean of its divisors is an integer number (420960375).

Almost surely, 222049671040 is an apocalyptic number.

22049671040 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 22049671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26941464000).

22049671040 is an abundant number, since it is smaller than the sum of its proper divisors (31833256960).

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

22049671040 is a wasteful number, since it uses less digits than its factorization.

22049671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 22049671040 in words is "twenty-two billion, forty-nine million, six hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 109 128 158 160 218 316 320 395 436 545 632 640 790 872 1090 1264 1580 1744 2180 2528 3160 3488 4001 4360 5056 6320 6976 8002 8611 8720 10112 12640 13952 16004 17222 17440 20005 25280 32008 34444 34880 40010 43055 50560 64016 68888 69760 80020 86110 128032 137776 160040 172220 256064 275552 316079 320080 344440 436109 512128 551104 632158 640160 688880 872218 1102208 1264316 1280320 1377760 1580395 1744436 2180545 2528632 2560640 2755520 3160790 3488872 4361090 5057264 5511040 6321580 6977744 8722180 10114528 12643160 13955488 17444360 20229056 25286320 27910976 34452611 34888720 40458112 50572640 55821952 68905222 69777440 101145280 137810444 139554880 172263055 202290560 275620888 279109760 344526110 551241776 689052220 1102483552 1378104440 2204967104 2756208880 4409934208 5512417760 11024835520 22049671040