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225736804440 = 233257212796871
BaseRepresentation
bin1101001000111011110…
…1100100100001011000
3210120122222121210222200
43102032331210201120
512144302110220230
6251411351050200
722210653115200
oct3221675444130
9716588553880
10225736804440
11878095a5314
12378ba970960
13183963acc44
14acd6263400
155d12b89160
hex348ef64858

225736804440 has 144 divisors (see below), whose sum is σ = 853423393680. Its totient is φ = 51596979840.

The previous prime is 225736804429. The next prime is 225736804453. The reversal of 225736804440 is 44408637522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6380796 + ... + 6416075.

It is an arithmetic number, because the mean of its divisors is an integer number (5926551345).

Almost surely, 2225736804440 is an apocalyptic number.

225736804440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225736804440 is an abundant number, since it is smaller than the sum of its proper divisors (627686589240).

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

225736804440 is a wasteful number, since it uses less digits than its factorization.

225736804440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12796902 (or 12796888 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 225736804440 in words is "two hundred twenty-five billion, seven hundred thirty-six million, eight hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 12796871 25593742 38390613 51187484 63984355 76781226 89578097 102374968 115171839 127968710 153562452 179156194 191953065 230343678 255937420 268734291 307124904 358312388 383906130 447890485 460687356 511874840 537468582 575859195 627046679 716624776 767812260 806202873 895780970 921374712 1074937164 1151718390 1254093358 1343671455 1535624520 1612405746 1791561940 1881140037 2149874328 2303436780 2508186716 2687342910 3135233395 3224811492 3583123880 3762280074 4031014365 4606873560 5016373432 5374685820 5643420111 6270466790 6449622984 7524560148 8062028730 9405700185 10749371640 11286840222 12540933580 15049120296 16124057460 18811400370 22573680444 25081867160 28217100555 32248114920 37622800740 45147360888 56434201110 75245601480 112868402220 225736804440