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199417420 = 22531378693
BaseRepresentation
bin10111110001011…
…01111001001100
3111220020110021101
423320231321030
5402022324140
631442112444
74641006616
oct1370557114
9456213241
10199417420
11a2625294
125694b724
1332412097
141c6addb6
151279199a
hexbe2de4c

199417420 has 48 divisors (see below), whose sum is σ = 444019968. Its totient is φ = 75098880.

The previous prime is 199417411. The next prime is 199417441. The reversal of 199417420 is 24714991.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 199417420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18594 + ... + 27286.

It is an arithmetic number, because the mean of its divisors is an integer number (9250416).

Almost surely, 2199417420 is an apocalyptic number.

199417420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222009984).

199417420 is an abundant number, since it is smaller than the sum of its proper divisors (244602548).

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

199417420 is a wasteful number, since it uses less digits than its factorization.

199417420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8770 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 199417420 is about 14121.5232889374. The cubic root of 199417420 is about 584.2351706584.

The spelling of 199417420 in words is "one hundred ninety-nine million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 2294 4588 5735 8693 11470 17386 22940 34772 43465 86930 173860 269483 321641 538966 643282 1077932 1286564 1347415 1608205 2694830 3216410 5389660 6432820 9970871 19941742 39883484 49854355 99708710 199417420