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421961022 = 23373473217
BaseRepresentation
bin11001001001101…
…001110100111110
31002101222211201000
4121021221310332
51331010223042
6105512031130
713312416030
oct3111516476
91071884630
10421961022
111a720561a
12b93924a6
13695604a2
144007dc50
15270a074c
hex19269d3e

421961022 has 64 divisors (see below), whose sum is σ = 1075069440. Its totient is φ = 120175488.

The previous prime is 421961009. The next prime is 421961051. The reversal of 421961022 is 220169124.

421961022 is a `hidden beast` number, since 4 + 21 + 9 + 610 + 22 = 666.

It is a super-2 number, since 2×4219610222 = 356102208174568968, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129558 + ... + 132774.

It is an arithmetic number, because the mean of its divisors is an integer number (16797960).

Almost surely, 2421961022 is an apocalyptic number.

421961022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 421961022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537534720).

421961022 is an abundant number, since it is smaller than the sum of its proper divisors (653108418).

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

421961022 is a wasteful number, since it uses less digits than its factorization.

421961022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421961022 is about 20541.6898525900. The cubic root of 421961022 is about 750.0509725357.

The spelling of 421961022 in words is "four hundred twenty-one million, nine hundred sixty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 347 378 694 1041 2082 2429 3123 3217 4858 6246 6434 7287 9369 9651 14574 18738 19302 21861 22519 28953 43722 45038 57906 65583 67557 86859 131166 135114 173718 202671 405342 608013 1116299 1216026 2232598 3348897 6697794 7814093 10046691 15628186 20093382 23442279 30140073 46884558 60280146 70326837 140653674 210980511 421961022