Search a number
-
+
225043525024400 = 245217181182843293
BaseRepresentation
bin110011001010110100000111…
…010111100011101010010000
31002111210221200012020000120002
4303022310013113203222100
5213444103114401240100
62114343322420305132
765254600224605465
oct6312640727435220
91074727605200502
10225043525024400
1165784472004995
12212a6b392421a8
139875689aa8084
143d8024402966c
151b03d728302d5
hexccad075e3a90

225043525024400 has 120 divisors (see below), whose sum is σ = 575633840529384. Its totient is φ = 84254188953600.

The previous prime is 225043525024399. The next prime is 225043525024427. The reversal of 225043525024400 is 4420525340522.

It can be written as a sum of positive squares in 12 ways, for example, as 63295899280384 + 161747625744016 = 7955872^2 + 12718004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90190847 + ... + 92652446.

Almost surely, 2225043525024400 is an apocalyptic number.

225043525024400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225043525024400 is an abundant number, since it is smaller than the sum of its proper divisors (350590315504984).

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

225043525024400 is a wasteful number, since it uses less digits than its factorization.

225043525024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182843509 (or 182843498 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 38.

The spelling of 225043525024400 in words is "two hundred twenty-five trillion, forty-three billion, five hundred twenty-five million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 181 200 272 340 362 400 425 680 724 850 905 1360 1448 1700 1810 2896 3077 3400 3620 4525 6154 6800 7240 9050 12308 14480 15385 18100 24616 30770 36200 49232 61540 72400 76925 123080 153850 246160 307700 615400 1230800 182843293 365686586 731373172 914216465 1462746344 1828432930 2925492688 3108335981 3656865860 4571082325 6216671962 7313731720 9142164650 12433343924 14627463440 15541679905 18284329300 24866687848 31083359810 33094636033 36568658600 49733375696 62166719620 66189272066 73137317200 77708399525 124333439240 132378544132 155416799050 165473180165 248666878480 264757088264 310833598100 330946360330 529514176528 562608812561 621667196200 661892720660 827365900825 1125217625122 1243334392400 1323785441320 1654731801650 2250435250244 2647570882640 2813044062805 3309463603300 4500870500488 5626088125610 6618927206600 9001741000976 11252176251220 13237854413200 14065220314025 22504352502440 28130440628050 45008705004880 56260881256100 112521762512200 225043525024400