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112253452240 = 24523277220243
BaseRepresentation
bin110100010001011010…
…0111011111111010000
3101201202010200012201011
41220202310323333100
53314343340432430
6123322445020304
711052513413026
oct1504264737720
9351663605634
10112253452240
1143674169136
1219909554694
13a77c3250b7
14560c5b6716
152dbed7222a
hex1a22d3bfd0

112253452240 has 80 divisors (see below), whose sum is σ = 273321042048. Its totient is φ = 42793901568.

The previous prime is 112253452231. The next prime is 112253452331. The reversal of 112253452240 is 42254352211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1122534522402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399559 + ... + 619801.

Almost surely, 2112253452240 is an apocalyptic number.

112253452240 is a gapful number since it is divisible by the number (10) 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 112253452240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136660521024).

112253452240 is an abundant number, since it is smaller than the sum of its proper divisors (161067589808).

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

112253452240 is a wasteful number, since it uses less digits than its factorization.

112253452240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220556 (or 220550 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The spelling of 112253452240 in words is "one hundred twelve billion, two hundred fifty-three million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 277 368 460 554 920 1108 1385 1840 2216 2770 4432 5540 6371 11080 12742 22160 25484 31855 50968 63710 101936 127420 220243 254840 440486 509680 880972 1101215 1761944 2202430 3523888 4404860 5065589 8809720 10131178 17619440 20262356 25327945 40524712 50655890 61007311 81049424 101311780 122014622 202623560 244029244 305036555 405247120 488058488 610073110 976116976 1220146220 1403168153 2440292440 2806336306 4880584880 5612672612 7015840765 11225345224 14031681530 22450690448 28063363060 56126726120 112253452240