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2253601156440 = 2335139173780971
BaseRepresentation
bin100000110010110101000…
…110001010110101011000
321222102221100011102000210
4200302311012022311120
5243410333344001230
64443142353531120
7321550223524134
oct40626506126530
97872840142023
102253601156440
11799824113187
1230491a573aa0
1313468a71985a
147b1096723c4
153d94c035eb0
hex20cb518ad58

2253601156440 has 128 divisors (see below), whose sum is σ = 6848812051200. Its totient is φ = 593187325440.

The previous prime is 2253601156423. The next prime is 2253601156441. The reversal of 2253601156440 is 446511063522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253601156441) 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, 2495155 + ... + 3276125.

It is an arithmetic number, because the mean of its divisors is an integer number (53506344150).

Almost surely, 22253601156440 is an apocalyptic number.

2253601156440 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 2253601156440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424406025600).

2253601156440 is an abundant number, since it is smaller than the sum of its proper divisors (4595210894760).

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

2253601156440 is a wasteful number, since it uses less digits than its factorization.

2253601156440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781297 (or 781293 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 2253601156440 in words is "two trillion, two hundred fifty-three billion, six hundred one million, one hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 173 278 346 417 519 556 692 695 834 865 1038 1112 1384 1390 1668 1730 2076 2085 2595 2780 3336 3460 4152 4170 5190 5560 6920 8340 10380 16680 20760 24047 48094 72141 96188 120235 144282 192376 240470 288564 360705 480940 577128 721410 780971 961880 1442820 1561942 2342913 2885640 3123884 3904855 4685826 6247768 7809710 9371652 11714565 15619420 18743304 23429130 31238840 46858260 93716520 108554969 135107983 217109938 270215966 325664907 405323949 434219876 540431932 542774845 651329814 675539915 810647898 868439752 1080863864 1085549690 1302659628 1351079830 1621295796 1628324535 2026619745 2171099380 2605319256 2702159660 3242591592 3256649070 4053239490 4342198760 5404319320 6513298140 8106478980 13026596280 16212957960 18780009637 37560019274 56340028911 75120038548 93900048185 112680057822 150240077096 187800096370 225360115644 281700144555 375600192740 450720231288 563400289110 751200385480 1126800578220 2253601156440