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225114189444 = 22344326132
BaseRepresentation
bin1101000110100111011…
…0011110111010000100
3210112001121001200210000
43101221312132322010
512142013213030234
6251225510201300
722156353016134
oct3215166367204
9715047050700
10225114189444
118751a100471
1237766353230
13182c73c68c1
14ac776b0ac4
155cc81a0899
hex3469d9ee84

225114189444 has 135 divisors (see below), whose sum is σ = 603481587093. Its totient is φ = 73173427488.

The previous prime is 225114189413. The next prime is 225114189463. The reversal of 225114189444 is 444981411522.

The square root of 225114189444 is 474462.

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

225114189444 is a `hidden beast` number, since 2 + 2 + 511 + 4 + 1 + 8 + 94 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 733868100 + 224380321344 = 27090^2 + 473688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225114189444.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 367233282 + ... + 367233894.

Almost surely, 2225114189444 is an apocalyptic number.

225114189444 is the 474462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225114189444

225114189444 is an abundant number, since it is smaller than the sum of its proper divisors (378367397649).

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

225114189444 is an frugal number, since it uses more digits than its factorization.

225114189444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 661 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 225114189444 in words is "two hundred twenty-five billion, one hundred fourteen million, one hundred eighty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 613 774 1161 1226 1548 1839 1849 2322 2452 3483 3678 3698 4644 5517 5547 6966 7356 7396 11034 11094 13932 16551 16641 22068 22188 26359 33102 33282 49653 49923 52718 66204 66564 79077 99306 99846 105436 149769 158154 198612 199692 237231 299538 316308 375769 474462 599076 711693 751538 948924 1127307 1133437 1423386 1503076 2135079 2254614 2266874 2846772 3381921 3400311 4270158 4509228 4533748 6763842 6800622 8540316 10145763 10200933 13527684 13601244 16158067 20291526 20401866 30437289 30602799 32316134 40583052 40803732 48474201 60874578 61205598 64632268 91808397 96948402 121749156 122411196 145422603 183616794 193896804 290845206 367233588 436267809 581690412 694796881 872535618 1308803427 1389593762 1745071236 2084390643 2617606854 2779187524 4168781286 5235213708 6253171929 8337562572 12506343858 18759515787 25012687716 37519031574 56278547361 75038063148 112557094722 225114189444