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195468156 = 2232134161167
BaseRepresentation
bin10111010011010…
…01101101111100
3111121210210220100
423221221231330
5400014440111
631221321100
74562311002
oct1351515574
9447723810
10195468156
11a0378134
1255566190
133165b640
141bd62a72
1512261756
hexba69b7c

195468156 has 144 divisors (see below), whose sum is σ = 557339328. Its totient is φ = 57369600.

The previous prime is 195468131. The next prime is 195468157. The reversal of 195468156 is 651864591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195468157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170385 + ... + 1170551.

It is an arithmetic number, because the mean of its divisors is an integer number (3870412).

Almost surely, 2195468156 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 195468156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278669664).

195468156 is an abundant number, since it is smaller than the sum of its proper divisors (361871172).

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

195468156 is a wasteful number, since it uses less digits than its factorization.

195468156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 195468156 is about 13980.9926686198. The cubic root of 195468156 is about 580.3526947199.

The spelling of 195468156 in words is "one hundred ninety-five million, four hundred sixty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 61 78 82 117 122 123 156 164 167 183 234 244 246 334 366 369 468 492 501 533 549 668 732 738 793 1002 1066 1098 1476 1503 1586 1599 2004 2132 2171 2196 2379 2501 3006 3172 3198 4342 4758 4797 5002 6012 6396 6513 6847 7137 7503 8684 9516 9594 10004 10187 13026 13694 14274 15006 19188 19539 20374 20541 22509 26052 27388 28548 30012 30561 32513 39078 40748 41082 45018 61122 61623 65026 78156 82164 89011 90036 91683 97539 122244 123246 130052 132431 178022 183366 195078 246492 264862 267033 292617 356044 366732 390156 397293 417667 529724 534066 585234 794586 801099 835334 1068132 1170468 1191879 1253001 1589172 1602198 1670668 2383758 2506002 3204396 3759003 4767516 5012004 5429671 7518006 10859342 15036012 16289013 21718684 32578026 48867039 65156052 97734078 195468156