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225661545445240 = 235295091052936299
BaseRepresentation
bin110011010011110011101100…
…010000010111011101111000
31002121000000220002200022012101
4303103303230100113131320
5214034214321113221430
62115535252142553144
765350336314526552
oct6323635420273570
91077000802608171
10225661545445240
11659a2584468373
1221386876b987b4
1398bba3bc65998
143da21116d44d2
151b14e9473bdca
hexcd3cec417778

225661545445240 has 128 divisors (see below), whose sum is σ = 526343103000000. Its totient is φ = 86970165968896.

The previous prime is 225661545445201. The next prime is 225661545445249. The reversal of 225661545445240 is 42544545166522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225661545445249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6216724611 + ... + 6216760909.

Almost surely, 2225661545445240 is an apocalyptic number.

225661545445240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225661545445240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263171551500000).

225661545445240 is an abundant number, since it is smaller than the sum of its proper divisors (300681557554760).

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

225661545445240 is a wasteful number, since it uses less digits than its factorization.

225661545445240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47377 (or 47373 counting only the distinct ones).

The product of its (nonzero) digits is 46080000, while the sum is 55.

The spelling of 225661545445240 in words is "two hundred twenty-five trillion, six hundred sixty-one billion, five hundred forty-five million, four hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 509 580 1018 1160 2036 2545 4072 5090 10180 10529 14761 20360 21058 29522 36299 42116 52645 59044 72598 73805 84232 105290 118088 145196 147610 181495 210580 290392 295220 305341 362990 421160 590440 610682 725980 1052671 1221364 1451960 1526705 2105342 2442728 3053410 4210684 5263355 5359261 6106820 8421368 10526710 10718522 12213640 18476191 21053420 21437044 26796305 36952382 42106840 42874088 53592610 73904764 92380955 107185220 147809528 155418569 184761910 214370440 310837138 369523820 382192171 535809539 621674276 739047640 764384342 777092845 1071619078 1243348552 1528768684 1554185690 1910960855 2143238156 2679047695 3057537368 3108371380 3821921710 4286476312 5358095390 6216742760 7643843420 10716190780 11083572959 15287686840 21432381560 22167145918 44334291836 55417864795 88668583672 110835729590 194535815039 221671459180 389071630078 443342918360 778143260156 972679075195 1556286520312 1945358150390 3890716300780 5641538636131 7781432601560 11283077272262 22566154544524 28207693180655 45132309089048 56415386361310 112830772722620 225661545445240