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197991948 = 22373114373
BaseRepresentation
bin10111100110100…
…01111000001100
3111210120000220010
423303101320030
5401141220243
631351353220
74622622000
oct1363217014
9453500803
10197991948
11a1841310
1256382810
13320332cb
141c41c700
15125ae433
hexbcd1e0c

197991948 has 96 divisors (see below), whose sum is σ = 587865600. Its totient is φ = 51414720.

The previous prime is 197991931. The next prime is 197991967. The reversal of 197991948 is 849199791.

197991948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1979919482 = 78401622945669408, which contains 22 as substring.

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, 43090 + ... + 47462.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2197991948 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 197991948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293932800).

197991948 is an abundant number, since it is smaller than the sum of its proper divisors (389873652).

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

197991948 is a wasteful number, since it uses less digits than its factorization.

197991948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4412 (or 4396 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 57.

The square root of 197991948 is about 14070.9611612000. The cubic root of 197991948 is about 582.8397673941.

The spelling of 197991948 in words is "one hundred ninety-seven million, nine hundred ninety-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 4373 6468 7546 8746 11319 13119 15092 17492 22638 26238 30611 45276 48103 52476 61222 91833 96206 122444 144309 183666 192412 214277 288618 336721 367332 428554 577236 642831 673442 857108 1010163 1285662 1346884 1499939 2020326 2357047 2571324 2999878 4040652 4499817 4714094 5999756 7071141 8999634 9428188 14142282 16499329 17999268 28284564 32998658 49497987 65997316 98995974 197991948