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196242024 = 233114359293
BaseRepresentation
bin10111011001001…
…10101001101000
3111200021010110010
423230212221220
5400214221044
631250051520
74602013116
oct1354465150
9450233403
10196242024
11a08565a0
1255879ba0
133186c954
141c0c4ab6
1512365bb9
hexbb26a68

196242024 has 128 divisors (see below), whose sum is σ = 558835200. Its totient is φ = 56904960.

The previous prime is 196242023. The next prime is 196242037. The reversal of 196242024 is 420242691.

196242024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 196241982 and 196242000.

It is not an unprimeable number, because it can be changed into a prime (196242023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 669622 + ... + 669914.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2196242024 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 196242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

196242024 is an abundant number, since it is smaller than the sum of its proper divisors (362593176).

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

196242024 is a wasteful number, since it uses less digits than its factorization.

196242024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 196242024 is about 14008.6410475820. The cubic root of 196242024 is about 581.1175677940.

The spelling of 196242024 in words is "one hundred ninety-six million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 59 66 86 88 118 129 132 172 177 236 258 264 293 344 354 472 473 516 586 649 708 879 946 1032 1172 1298 1416 1419 1758 1892 1947 2344 2537 2596 2838 3223 3516 3784 3894 5074 5192 5676 6446 7032 7611 7788 9669 10148 11352 12599 12892 15222 15576 17287 19338 20296 25198 25784 27907 30444 34574 37797 38676 50396 51861 55814 60888 69148 75594 77352 83721 100792 103722 111628 138296 138589 151188 167442 190157 207444 223256 277178 302376 334884 380314 414888 415767 554356 570471 669768 743341 760628 831534 1108712 1140942 1486682 1521256 1663068 2230023 2281884 2973364 3326136 4460046 4563768 5946728 8176751 8920092 16353502 17840184 24530253 32707004 49060506 65414008 98121012 196242024