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424100190 = 235171495581
BaseRepresentation
bin11001010001110…
…100000101011110
31002120000112002110
4121101310011132
51332032201230
6110025534450
713336535463
oct3121640536
91076015073
10424100190
111a8436828
12ba044426
1369b2c077
144047966a
15273744b0
hex1947415e

424100190 has 64 divisors (see below), whose sum is σ = 1085140800. Its totient is φ = 105707520.

The previous prime is 424100153. The next prime is 424100227. The reversal of 424100190 is 91001424.

It is an interprime number because it is at equal distance from previous prime (424100153) and next prime (424100227).

It is a super-2 number, since 2×4241001902 = 359721942316072200, which contains 22 as substring.

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, 73200 + ... + 78780.

It is an arithmetic number, because the mean of its divisors is an integer number (16955325).

Almost surely, 2424100190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424100190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542570400).

424100190 is an abundant number, since it is smaller than the sum of its proper divisors (661040610).

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

424100190 is a wasteful number, since it uses less digits than its factorization.

424100190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5757.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 424100190 is about 20593.6929665371. The cubic root of 424100190 is about 751.3163194968.

The spelling of 424100190 in words is "four hundred twenty-four million, one hundred thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 149 170 255 298 447 510 745 894 1490 2235 2533 4470 5066 5581 7599 11162 12665 15198 16743 25330 27905 33486 37995 55810 75990 83715 94877 167430 189754 284631 474385 569262 831569 948770 1423155 1663138 2494707 2846310 4157845 4989414 8315690 12473535 14136673 24947070 28273346 42410019 70683365 84820038 141366730 212050095 424100190