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2225225232440 = 235726929543617
BaseRepresentation
bin100000011000011001110…
…000100111000000111000
321212201200202212010002122
4200120121300213000320
5242424230124414230
64422130535220412
7316524104251550
oct40303160470070
97781622763078
102225225232440
117887926a5521
122bb31b517708
13131ab7969c92
14799b6bc8160
153cd3acb4be5
hex20619c27038

2225225232440 has 64 divisors (see below), whose sum is σ = 5743279339200. Its totient is φ = 760098152448.

The previous prime is 2225225232413. The next prime is 2225225232449. The reversal of 2225225232440 is 442325225222.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2225225232440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225225232449) 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, 14696489 + ... + 14847128.

It is an arithmetic number, because the mean of its divisors is an integer number (89738739675).

Almost surely, 22225225232440 is an apocalyptic number.

2225225232440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225225232440 is an abundant number, since it is smaller than the sum of its proper divisors (3518054106760).

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

2225225232440 is a wasteful number, since it uses less digits than its factorization.

2225225232440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29543904 (or 29543900 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The spelling of 2225225232440 in words is "two trillion, two hundred twenty-five billion, two hundred twenty-five million, two hundred thirty-two thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 269 280 538 1076 1345 1883 2152 2690 3766 5380 7532 9415 10760 15064 18830 37660 75320 29543617 59087234 118174468 147718085 206805319 236348936 295436170 413610638 590872340 827221276 1034026595 1181744680 1654442552 2068053190 4136106380 7947232973 8272212760 15894465946 31788931892 39736164865 55630630811 63577863784 79472329730 111261261622 158944659460 222522523244 278153154055 317889318920 445045046488 556306308110 1112612616220 2225225232440