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198774972 = 2236116197
BaseRepresentation
bin10111101100100…
…01000010111100
3111212000211000000
423312101002330
5401341244342
631420234300
74632362604
oct1366210274
9455024000
10198774972
11a2226640
125669b990
1332248836
141c583c04
15126b644c
hexbd910bc

198774972 has 84 divisors (see below), whose sum is σ = 569050776. Its totient is φ = 60225120.

The previous prime is 198774971. The next prime is 198774973. The reversal of 198774972 is 279477891.

198774972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198774971) and next prime (198774973).

It is a super-2 number, since 2×1987749722 = 79022978987201568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198774971) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28978 + ... + 35174.

It is an arithmetic number, because the mean of its divisors is an integer number (6774414).

Almost surely, 2198774972 is an apocalyptic number.

198774972 is a gapful number since it is divisible by the number (12) 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 198774972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284525388).

198774972 is an abundant number, since it is smaller than the sum of its proper divisors (370275804).

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

198774972 is a wasteful number, since it uses less digits than its factorization.

198774972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6230 (or 6213 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 198774972 is about 14098.7578176235. The cubic root of 198774972 is about 583.6071003043.

The spelling of 198774972 in words is "one hundred ninety-eight million, seven hundred seventy-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 5346 6197 8019 10692 12394 16038 18591 24788 32076 37182 55773 68167 74364 111546 136334 167319 204501 223092 272668 334638 409002 501957 613503 669276 818004 1003914 1227006 1505871 1840509 2007828 2454012 3011742 3681018 4517613 5521527 6023484 7362036 9035226 11043054 16564581 18070452 22086108 33129162 49693743 66258324 99387486 198774972