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225384997392 = 2434372127033
BaseRepresentation
bin1101000111100111111…
…1100010001000010000
3210112202110122011110000
43101321333202020100
512143042024404032
6251312422410000
722166151603522
oct3217177421020
9715673564400
10225384997392
1187648a56495
1237820b90900
131833b5433a9
14aca1645a12
155ce1d44e7c
hex3479fe2210

225384997392 has 150 divisors (see below), whose sum is σ = 670441879338. Its totient is φ = 73097261568.

The previous prime is 225384997367. The next prime is 225384997441. The reversal of 225384997392 is 293799483522.

225384997392 is a `hidden beast` number, since 2 + 2 + 53 + 8 + 499 + 7 + 3 + 92 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 164200006656 + 61184990736 = 405216^2 + 247356^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1710708 + ... + 1837740.

Almost surely, 2225384997392 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 225384997392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335220939669).

225384997392 is an abundant number, since it is smaller than the sum of its proper divisors (445056881946).

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

225384997392 is a wasteful number, since it uses less digits than its factorization.

225384997392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127127 (or 127075 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 225384997392 in words is "two hundred twenty-five billion, three hundred eighty-four million, nine hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1369 1776 1998 2664 2738 2997 3996 4107 5328 5476 5994 7992 8214 10952 11988 12321 15984 16428 21904 23976 24642 32856 36963 47952 49284 65712 73926 98568 110889 127033 147852 197136 221778 254066 295704 381099 443556 508132 591408 762198 887112 1016264 1143297 1524396 1774224 2032528 2286594 3048792 3429891 4573188 4700221 6097584 6859782 9146376 9400442 10289673 13719564 14100663 18292752 18800884 20579346 27439128 28201326 37601768 41158692 42301989 54878256 56402652 75203536 82317384 84603978 112805304 126905967 164634768 169207956 173908177 225610608 253811934 338415912 347816354 380717901 507623868 521724531 676831824 695632708 761435802 1015247736 1043449062 1391265416 1522871604 1565173593 2030495472 2086898124 2782530832 3045743208 3130347186 4173796248 4695520779 6091486416 6260694372 8347592496 9391041558 12521388744 14086562337 18782083116 25042777488 28173124674 37564166232 56346249348 75128332464 112692498696 225384997392