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199448244 = 223419179181
BaseRepresentation
bin10111110001101…
…01011010110100
3111220022000120000
423320311122310
5402024320434
631442511300
74641165522
oct1370653264
9456260500
10199448244
11a2646466
1256965530
1332423118
141c6bb312
151279ab99
hexbe356b4

199448244 has 120 divisors (see below), whose sum is σ = 554954400. Its totient is φ = 62285760.

The previous prime is 199448243. The next prime is 199448251. The reversal of 199448244 is 442844991.

Its product of digits (331776) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 199448244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199448243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1101834 + ... + 1102014.

It is an arithmetic number, because the mean of its divisors is an integer number (4624620).

Almost surely, 2199448244 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 199448244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277477200).

199448244 is an abundant number, since it is smaller than the sum of its proper divisors (355506156).

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

199448244 is a wasteful number, since it uses less digits than its factorization.

199448244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 199448244 is about 14122.6146304429. The cubic root of 199448244 is about 584.2652708993.

The spelling of 199448244 in words is "one hundred ninety-nine million, four hundred forty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 179 181 228 324 342 358 362 513 537 543 684 716 724 1026 1074 1086 1539 1611 1629 2052 2148 2172 3078 3222 3258 3401 3439 4833 4887 6156 6444 6516 6802 6878 9666 9774 10203 10317 13604 13756 14499 14661 19332 19548 20406 20634 28998 29322 30609 30951 32399 40812 41268 57996 58644 61218 61902 64798 91827 92853 97197 122436 123804 129596 183654 185706 194394 275481 278559 291591 367308 371412 388788 550962 557118 583182 615581 874773 1101924 1114236 1166364 1231162 1749546 1846743 2462324 2624319 3499092 3693486 5248638 5540229 7386972 10497276 11080458 16620687 22160916 33241374 49862061 66482748 99724122 199448244