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422326422100 = 2252114319146747
BaseRepresentation
bin1100010010101001001…
…11011100101001010100
31111101002122200010102001
412021110213130221110
523404411031001400
6522003012525044
742340433233432
oct6112447345124
91441078603361
10422326422100
11153120289810
1269a24320784
1330a95cac6ab
1416625433d52
15aebba04a6a
hex62549dca54

422326422100 has 144 divisors (see below), whose sum is σ = 1028390178816. Its totient is φ = 149213232000.

The previous prime is 422326422041. The next prime is 422326422149. The reversal of 422326422100 is 1224623224.

It is a congruent number.

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, 9010927 + ... + 9057673.

It is an arithmetic number, because the mean of its divisors is an integer number (7141598464).

Almost surely, 2422326422100 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 422326422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514195089408).

422326422100 is an abundant number, since it is smaller than the sum of its proper divisors (606063756716).

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

422326422100 is a wasteful number, since it uses less digits than its factorization.

422326422100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47006 (or 46999 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 422326422100 in words is "four hundred twenty-two billion, three hundred twenty-six million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 86 100 110 172 191 215 220 275 382 430 473 550 764 860 946 955 1075 1100 1892 1910 2101 2150 2365 3820 4202 4300 4730 4775 8213 8404 9460 9550 10505 11825 16426 19100 21010 23650 32852 41065 42020 46747 47300 52525 82130 90343 93494 105050 164260 180686 186988 205325 210100 233735 361372 410650 451715 467470 514217 821300 903430 934940 1028434 1168675 1806860 2010121 2056868 2258575 2337350 2571085 4020242 4517150 4674700 5142170 8040484 8928677 9034300 10050605 10284340 12855425 17857354 20101210 22111331 25710850 35714708 40202420 44222662 44643385 50253025 51421700 88445324 89286770 98215447 100506050 110556655 178573540 196430894 201012100 221113310 223216925 383933111 392861788 442226620 446433850 491077235 552783275 767866222 892867700 982154470 1105566550 1535732444 1919665555 1964308940 2211133100 2455386175 3839331110 4223264221 4910772350 7678662220 8446528442 9598327775 9821544700 16893056884 19196655550 21116321105 38393311100 42232642210 84465284420 105581605525 211163211050 422326422100