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2244402422240 = 255112265156299
BaseRepresentation
bin100000101010010000110…
…011110010000111100000
321221120012021010021221112
4200222100303302013200
5243233014010002430
64435021513042452
7321103245550106
oct40522063620740
97846167107845
102244402422240
11795933724010
12302b919b6428
13133852a36474
147a8b5ac7c76
153d5ae6a0195
hex20a90cf21e0

2244402422240 has 96 divisors (see below), whose sum is σ = 5784795273600. Its totient is φ = 816095808000.

The previous prime is 2244402422221. The next prime is 2244402422243. The reversal of 2244402422240 is 422242044422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2244402422197 and 2244402422206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244402422243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39837611 + ... + 39893909.

It is an arithmetic number, because the mean of its divisors is an integer number (60258284100).

Almost surely, 22244402422240 is an apocalyptic number.

2244402422240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2244402422240 is an abundant number, since it is smaller than the sum of its proper divisors (3540392851360).

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

2244402422240 is a wasteful number, since it uses less digits than its factorization.

2244402422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78976 (or 78968 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2244402422240 its reverse (422242044422), we get a palindrome (2666644466662).

The spelling of 2244402422240 in words is "two trillion, two hundred forty-four billion, four hundred two million, four hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 22651 45302 56299 90604 112598 113255 181208 225196 226510 249161 281495 362416 450392 453020 498322 562990 619289 724832 900784 906040 996644 1125980 1238578 1245805 1801568 1812080 1993288 2251960 2477156 2491610 3096445 3624160 3986576 4503920 4954312 4983220 6192890 7973152 9007840 9908624 9966440 12385780 19817248 19932880 24771560 39865760 49543120 99086240 1275228649 2550457298 5100914596 6376143245 10201829192 12752286490 14027515139 20403658384 25504572980 28055030278 40807316768 51009145960 56110060556 70137575695 102018291920 112220121112 140275151390 204036583840 224440242224 280550302780 448880484448 561100605560 1122201211120 2244402422240