Search a number
-
+
198442470 = 23531377379
BaseRepresentation
bin10111101001111…
…11110111100110
3111211101220220010
423310333313212
5401300124340
631405151050
74626506322
oct1364776746
9454356803
10198442470
11a2019846
125655b486
13321603a5
141c4d8982
151264cb80
hexbd3fde6

198442470 has 128 divisors (see below), whose sum is σ = 518307840. Its totient is φ = 48522240.

The previous prime is 198442451. The next prime is 198442471. The reversal of 198442470 is 74244891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198442471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2511891 + ... + 2511969.

It is an arithmetic number, because the mean of its divisors is an integer number (4049280).

Almost surely, 2198442470 is an apocalyptic number.

198442470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198442470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259153920).

198442470 is an abundant number, since it is smaller than the sum of its proper divisors (319865370).

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

198442470 is a wasteful number, since it uses less digits than its factorization.

198442470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230.

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 198442470 is about 14086.9609923503. The cubic root of 198442470 is about 583.2815079581.

The spelling of 198442470 in words is "one hundred ninety-eight million, four hundred forty-two thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 73 74 79 93 111 146 155 158 185 186 219 222 237 310 365 370 395 438 465 474 555 730 790 930 1095 1110 1147 1185 2190 2263 2294 2370 2449 2701 2923 3441 4526 4898 5402 5735 5767 5846 6789 6882 7347 8103 8769 11315 11470 11534 12245 13505 13578 14615 14694 16206 17205 17301 17538 22630 24490 27010 28835 29230 33945 34410 34602 36735 40515 43845 57670 67890 73470 81030 83731 86505 87690 90613 167462 173010 178777 181226 213379 251193 271839 357554 418655 426758 453065 502386 536331 543678 640137 837310 893885 906130 1066895 1072662 1255965 1280274 1359195 1787770 2133790 2511930 2681655 2718390 3200685 5363310 6401370 6614749 13229498 19844247 33073745 39688494 66147490 99221235 198442470