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202422040416 = 25351743149239
BaseRepresentation
bin1011110010000101001…
…0110011011101100000
3201100111010210002100000
42330201102303131200
511304030020243131
6232554050500000
720424130645221
oct2744122633540
9640433702300
10202422040416
1178934a67aa2
1233292894600
131611c053b9b
149b23a3b248
1553eae00ce6
hex2f214b3760

202422040416 has 576 divisors, whose sum is σ = 653837184000. Its totient is φ = 61354008576.

The previous prime is 202422040397. The next prime is 202422040421. The reversal of 202422040416 is 614040224202.

202422040416 is a `hidden beast` number, since 2 + 0 + 2 + 42 + 204 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 202422040416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846954025 + ... + 846954263.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134000).

Almost surely, 2202422040416 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 202422040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326918592000).

202422040416 is an abundant number, since it is smaller than the sum of its proper divisors (451415143584).

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

202422040416 is a wasteful number, since it uses less digits than its factorization.

202422040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202422040416 its reverse (614040224202), we get a palindrome (816462264618).

The spelling of 202422040416 in words is "two hundred two billion, four hundred twenty-two million, forty thousand, four hundred sixteen".