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422314002032 = 241326917894219
BaseRepresentation
bin1100010010100111110…
…00000100011001110000
31111101001210022010021112
412021103320010121300
523404344341031112
6522001450412452
742340222534346
oct6112370043160
91441053263245
10422314002032
1115311427639a
1269a20131128
1330a93551440
141662391d996
15aeba89ea22
hex6253e04670

422314002032 has 80 divisors (see below), whose sum is σ = 885154284000. Its totient is φ = 194035018752.

The previous prime is 422314002029. The next prime is 422314002037. The reversal of 422314002032 is 230200413224.

It is a junction number, because it is equal to n+sod(n) for n = 422314001989 and 422314002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422314002037) 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, 100096019 + ... + 100100237.

It is an arithmetic number, because the mean of its divisors is an integer number (11064428550).

Almost surely, 2422314002032 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 422314002032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442577142000).

422314002032 is an abundant number, since it is smaller than the sum of its proper divisors (462840281968).

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

422314002032 is a wasteful number, since it uses less digits than its factorization.

422314002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6298 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 422314002032 its reverse (230200413224), we get a palindrome (652514415256).

The spelling of 422314002032 in words is "four hundred twenty-two billion, three hundred fourteen million, two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 269 538 1076 1789 2152 3497 3578 4219 4304 6994 7156 8438 13988 14312 16876 23257 27976 28624 33752 46514 54847 55952 67504 93028 109694 186056 219388 372112 438776 481241 877552 962482 1134911 1924964 2269822 3849928 4539644 6256133 7547791 7699856 9079288 12512266 14753843 15095582 18158576 25024532 29507686 30191164 50049064 59015372 60382328 98121283 100098128 118030744 120764656 196242566 236061488 392485132 784970264 1569940528 2030355779 4060711558 8121423116 16242846232 26394625127 32485692464 52789250254 105578500508 211157001016 422314002032