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202394430 = 23357173619
BaseRepresentation
bin11000001000001…
…00101100111110
3112002211200222000
430010010230332
5403303110210
632030003130
75005216140
oct1404045476
9462750860
10202394430
11a4278a27
12579464a6
1332c15124
141cc46c90
1512b7dac0
hexc104b3e

202394430 has 128 divisors (see below), whose sum is σ = 621388800. Its totient is φ = 45919872.

The previous prime is 202394429. The next prime is 202394447. The reversal of 202394430 is 34493202.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 202394394 and 202394403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326661 + ... + 327279.

It is an arithmetic number, because the mean of its divisors is an integer number (4854600).

Almost surely, 2202394430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202394430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310694400).

202394430 is an abundant number, since it is smaller than the sum of its proper divisors (418994370).

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

202394430 is a wasteful number, since it uses less digits than its factorization.

202394430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 202394430 is about 14226.5396354841. The cubic root of 202394430 is about 587.1280808867.

The spelling of 202394430 in words is "two hundred two million, three hundred ninety-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 173 189 210 270 315 346 378 519 619 630 865 945 1038 1211 1238 1557 1730 1857 1890 2422 2595 3095 3114 3633 3714 4333 4671 5190 5571 6055 6190 7266 7785 8666 9285 9342 10899 11142 12110 12999 15570 16713 18165 18570 21665 21798 23355 25998 27855 32697 33426 36330 38997 43330 46710 54495 55710 64995 65394 77994 83565 107087 108990 116991 129990 163485 167130 194985 214174 233982 321261 326970 389970 535435 584955 642522 749609 963783 1070870 1169910 1499218 1606305 1927566 2248827 2891349 3212610 3748045 4497654 4818915 5782698 6746481 7496090 9637830 11244135 13492962 14456745 20239443 22488270 28913490 33732405 40478886 67464810 101197215 202394430