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195148224 = 2633313643
BaseRepresentation
bin10111010000110…
…11100111000000
3111121012120001000
423220123213000
5344424220344
631210412000
74556506155
oct1350334700
9447176030
10195148224
11a0179827
1255431000
1331578b2b
141bcbc22c
15121eba69
hexba1b9c0

195148224 has 112 divisors (see below), whose sum is σ = 592368640. Its totient is φ = 62933760.

The previous prime is 195148201. The next prime is 195148241. The reversal of 195148224 is 422841591.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51747 + ... + 55389.

Almost surely, 2195148224 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 195148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296184320).

195148224 is an abundant number, since it is smaller than the sum of its proper divisors (397220416).

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

195148224 is a wasteful number, since it uses less digits than its factorization.

195148224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3679 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 195148224 is about 13969.5463061618. The cubic root of 195148224 is about 580.0358915562.

The spelling of 195148224 in words is "one hundred ninety-five million, one hundred forty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 3643 4464 5952 6696 7286 8928 10929 13392 14572 17856 21858 26784 29144 32787 43716 53568 58288 65574 87432 98361 112933 116576 131148 174864 196722 225866 233152 262296 338799 349728 393444 451732 524592 677598 699456 786888 903464 1016397 1049184 1355196 1573776 1806928 2032794 2098368 2710392 3049191 3147552 3613856 4065588 5420784 6098382 6295104 7227712 8131176 10841568 12196764 16262352 21683136 24393528 32524704 48787056 65049408 97574112 195148224