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22030256461100 = 225229101107702937
BaseRepresentation
bin1010000001001010100011…
…00111000101010100101100
32220000001221110011211111012
411000211101213011110230
510341420431123223400
6114504320552044352
74432430202140546
oct500452147052454
986001843154435
1022030256461100
117023a85498978
1225797403936b8
13c3a5a10a5714
145623ad234696
152830ce24ad35
hex1409519c552c

22030256461100 has 144 divisors (see below), whose sum is σ = 50410608202080. Its totient is φ = 8345256192000.

The previous prime is 22030256461067. The next prime is 22030256461111. The reversal of 22030256461100 is 116465203022.

22030256461100 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30988832 + ... + 31691768.

It is an arithmetic number, because the mean of its divisors is an integer number (350073668070).

Almost surely, 222030256461100 is an apocalyptic number.

22030256461100 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 22030256461100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205304101040).

22030256461100 is an abundant number, since it is smaller than the sum of its proper divisors (28380351740980).

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

22030256461100 is a wasteful number, since it uses less digits than its factorization.

22030256461100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703188 (or 703181 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 22030256461100 in words is "twenty-two trillion, thirty billion, two hundred fifty-six million, four hundred sixty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 107 116 145 202 214 290 404 428 505 535 580 725 1010 1070 1450 2020 2140 2525 2675 2900 2929 3103 5050 5350 5858 6206 10100 10700 10807 11716 12412 14645 15515 21614 29290 31030 43228 54035 58580 62060 73225 77575 108070 146450 155150 216140 270175 292900 310300 313403 540350 626806 702937 1080700 1253612 1405874 1567015 2811748 3134030 3514685 6268060 7029370 7835075 14058740 15670150 17573425 20385173 31340300 35146850 40770346 70293700 70996637 75214259 81540692 101925865 141993274 150428518 203851730 283986548 300857036 354983185 376071295 407703460 509629325 709966370 752142590 1019258650 1419932740 1504285180 1774915925 1880356475 2038517300 2058902473 2181213511 3549831850 3760712950 4117804946 4362427022 7099663700 7521425900 7596640159 8235609892 8724854044 10294512365 10906067555 15193280318 20589024730 21812135110 30386560636 37983200795 41178049460 43624270220 51472561825 54530337775 75966401590 102945123650 109060675550 151932803180 189916003975 205890247300 218121351100 220302564611 379832007950 440605129222 759664015900 881210258444 1101512823055 2203025646110 4406051292220 5507564115275 11015128230550 22030256461100