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190154196 = 22337389271
BaseRepresentation
bin10110101010110…
…00010111010100
3111020210211112000
423111120113110
5342134413241
630511355300
74466166261
oct1325302724
9436724460
10190154196
1198378731
1253822b30
133051a99b
141b37c268
1511a61eb6
hexb5585d4

190154196 has 96 divisors (see below), whose sum is σ = 507225600. Its totient is φ = 61585920.

The previous prime is 190154143. The next prime is 190154201. The reversal of 190154196 is 691451091.

190154196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 190154196.

It is a congruent number.

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, 701541 + ... + 701811.

It is an arithmetic number, because the mean of its divisors is an integer number (5283600).

Almost surely, 2190154196 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 190154196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253612800).

190154196 is an abundant number, since it is smaller than the sum of its proper divisors (317071404).

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

190154196 is a wasteful number, since it uses less digits than its factorization.

190154196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 190154196 is about 13789.6408945266. The cubic root of 190154196 is about 575.0451846030.

The spelling of 190154196 in words is "one hundred ninety million, one hundred fifty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 89 108 146 178 219 267 271 292 356 438 534 542 657 801 813 876 1068 1084 1314 1602 1626 1971 2403 2439 2628 3204 3252 3942 4806 4878 6497 7317 7884 9612 9756 12994 14634 19491 19783 24119 25988 29268 38982 39566 48238 58473 59349 72357 77964 79132 96476 116946 118698 144714 175419 178047 217071 233892 237396 289428 350838 356094 434142 534141 651213 701676 712188 868284 1068282 1302426 1760687 2136564 2604852 3521374 5282061 7042748 10564122 15846183 21128244 31692366 47538549 63384732 95077098 190154196