Search a number
-
+
193161496 = 231123141157
BaseRepresentation
bin10111000001101…
…10100100011000
3111110110121202111
423200312210120
5343422131441
631100042104
74533563023
oct1340664430
9443417674
10193161496
119a042100
1254833334
1331031758
141b9221ba
1511e58081
hexb836918

193161496 has 96 divisors (see below), whose sum is σ = 423642240. Its totient is φ = 82368000.

The previous prime is 193161491. The next prime is 193161499. The reversal of 193161496 is 694161391.

It is a happy number.

It is a super-2 number, since 2×1931614962 = 74622727073916032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193161491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230250 + ... + 1230406.

It is an arithmetic number, because the mean of its divisors is an integer number (4412940).

Almost surely, 2193161496 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 193161496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211821120).

193161496 is an abundant number, since it is smaller than the sum of its proper divisors (230480744).

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

193161496 is a wasteful number, since it uses less digits than its factorization.

193161496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its digits is 34992, while the sum is 40.

The square root of 193161496 is about 13898.2551422831. The cubic root of 193161496 is about 578.0608006666.

The spelling of 193161496 in words is "one hundred ninety-three million, one hundred sixty-one thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 22 31 41 44 62 82 88 121 124 157 164 242 248 314 328 341 451 484 628 682 902 968 1256 1271 1364 1727 1804 2542 2728 3454 3608 3751 4867 4961 5084 6437 6908 7502 9734 9922 10168 12874 13816 13981 15004 18997 19468 19844 25748 27962 30008 37994 38936 39688 51496 53537 55924 70807 75988 107074 111848 141614 151976 153791 199547 214148 283228 307582 399094 428296 566456 588907 615164 778877 798188 1177814 1230328 1557754 1596376 2195017 2355628 3115508 4390034 4711256 6231016 8780068 17560136 24145187 48290374 96580748 193161496