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2232123002240 = 27525491368259
BaseRepresentation
bin100000011110110100111…
…001100000110110000000
321220101111111020010102012
4200132310321200312000
5243032341442032430
64425231222312052
7320160042316565
oct40366471406600
97811444203365
102232123002240
1179070227501a
12300725588628
13132646a2b281
147a06cd3286c
153d0e1638695
hex207b4e60d80

2232123002240 has 64 divisors (see below), whose sum is σ = 5338266390000. Its totient is φ = 892498274304.

The previous prime is 2232123002201. The next prime is 2232123002257. The reversal of 2232123002240 is 422003212322.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×22321230022403 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 947231 + ... + 2315489.

Almost surely, 22232123002240 is an apocalyptic number.

2232123002240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2232123002240 is an abundant number, since it is smaller than the sum of its proper divisors (3106143387760).

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

2232123002240 is a wasteful number, since it uses less digits than its factorization.

2232123002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370827 (or 1370815 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2232123002240 its reverse (422003212322), we get a palindrome (2654126214562).

The spelling of 2232123002240 in words is "two trillion, two hundred thirty-two billion, one hundred twenty-three million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2549 5098 10196 12745 20392 25490 40784 50980 81568 101960 163136 203920 326272 407840 815680 1368259 1631360 2736518 5473036 6841295 10946072 13682590 21892144 27365180 43784288 54730360 87568576 109460720 175137152 218921440 437842880 875685760 3487692191 6975384382 13950768764 17438460955 27901537528 34876921910 55803075056 69753843820 111606150112 139507687640 223212300224 279015375280 446424600448 558030750560 1116061501120 2232123002240