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225339550992 = 24331928379677
BaseRepresentation
bin1101000111011101001…
…0001010110100010000
3210112122022010020201000
43101313102022310100
512142443411112432
6251304120342000
722165060402653
oct3216722126420
9715568106630
10225339550992
1187625335986
1237809914900
1318331cc082a
14ac995b589a
155cdcd6957c
hex347748ad10

225339550992 has 160 divisors (see below), whose sum is σ = 681160867200. Its totient is φ = 71127424512.

The previous prime is 225339550987. The next prime is 225339550999. The reversal of 225339550992 is 299055933522.

225339550992 is a `hidden beast` number, since 2 + 2 + 53 + 39 + 550 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (225339550999) 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 31 ways as a sum of consecutive naturals, for example, 23281258 + ... + 23290934.

It is an arithmetic number, because the mean of its divisors is an integer number (4257255420).

Almost surely, 2225339550992 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 225339550992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340580433600).

225339550992 is an abundant number, since it is smaller than the sum of its proper divisors (455821316208).

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

225339550992 is a wasteful number, since it uses less digits than its factorization.

225339550992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12538 counting only the distinct ones).

The product of its (nonzero) digits is 6561000, while the sum is 54.

The spelling of 225339550992 in words is "two hundred twenty-five billion, three hundred thirty-nine million, five hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 2837 4104 5674 8208 8511 9677 11348 17022 19354 22696 25533 29031 34044 38708 45392 51066 53903 58062 68088 76599 77416 87093 102132 107806 116124 136176 153198 154832 161709 174186 183863 204264 215612 232248 261279 306396 323418 348372 367726 408528 431224 464496 485127 522558 551589 612792 646836 696744 735452 862448 970254 1045116 1103178 1225584 1293672 1393488 1455381 1470904 1654767 1940508 2090232 2206356 2587344 2910762 2941808 3309534 3881016 4180464 4412712 4964301 5821524 6619068 7762032 8825424 9928602 11643048 13238136 19857204 23286096 26476272 27453649 39714408 54907298 79428816 82360947 109814596 164721894 219629192 247082841 329443788 439258384 494165682 521619331 658887576 741248523 988331364 1043238662 1317775152 1482497046 1564857993 1976662728 2086477324 2964994092 3129715986 3953325456 4172954648 4694573979 5929988184 6259431972 8345909296 9389147958 11859976368 12518863944 14083721937 18778295916 25037727888 28167443874 37556591832 56334887748 75113183664 112669775496 225339550992