Search a number
-
+
235192896 = 2636712
BaseRepresentation
bin11100000010011…
…00001001000000
3121101120001000000
432001030021000
5440202133041
635201000000
75554051401
oct1601141100
9541501000
10235192896
1111083a9a4
1266923000
1339959ac3
14233439a8
15159abbb6
hexe04c240

235192896 has 147 divisors (see below), whose sum is σ = 709740643. Its totient is φ = 77293440.

The previous prime is 235192873. The next prime is 235192921. The reversal of 235192896 is 698291532.

The square root of 235192896 is 15336.

It is a perfect power (a square), and thus also a powerful number.

235192896 is a `hidden beast` number, since 23 + 519 + 28 + 96 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 3312541 + ... + 3312611.

Almost surely, 2235192896 is an apocalyptic number.

235192896 is the 15336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235192896

235192896 is an abundant number, since it is smaller than the sum of its proper divisors (474547747).

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

235192896 is an frugal number, since it uses more digits than its factorization.

235192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The cubic root of 235192896 is about 617.2693788217.

It can be divided in two parts, 235 and 192896, that added together give a triangular number (193131 = T621).

The spelling of 235192896 in words is "two hundred thirty-five million, one hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 243 284 288 324 426 432 486 568 576 639 648 729 852 864 972 1136 1278 1296 1458 1704 1728 1917 1944 2272 2556 2592 2916 3408 3834 3888 4544 5041 5112 5184 5751 5832 6816 7668 7776 10082 10224 11502 11664 13632 15123 15336 15552 17253 20164 20448 23004 23328 30246 30672 34506 40328 40896 45369 46008 46656 51759 60492 61344 69012 80656 90738 92016 103518 120984 122688 136107 138024 161312 181476 184032 207036 241968 272214 276048 322624 362952 368064 408321 414072 483936 544428 552096 725904 816642 828144 967872 1088856 1104192 1224963 1451808 1633284 1656288 2177712 2449926 2903616 3266568 3312576 3674889 4355424 4899852 6533136 7349778 8710848 9799704 13066272 14699556 19599408 26132544 29399112 39198816 58798224 78397632 117596448 235192896