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20155132240 = 245298997613
BaseRepresentation
bin10010110001010101…
…101110100101010000
31221000122102210200021
4102301111232211100
5312234203212430
613131550233224
71312314540325
oct226125564520
957018383607
1020155132240
118603057191
123aa5ab5814
131b92882869
14d92b48b4c
157ce6b107a
hex4b156e950

20155132240 has 80 divisors (see below), whose sum is σ = 49021750800. Its totient is φ = 7696510976.

The previous prime is 20155132237. The next prime is 20155132243. The reversal of 20155132240 is 4223155102.

It is an interprime number because it is at equal distance from previous prime (20155132237) and next prime (20155132243).

It can be written as a sum of positive squares in 8 ways, for example, as 7033104 + 20148099136 = 2652^2 + 141944^2 .

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

It is a super-2 number, since 2×201551322402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20155132243) 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, 157674 + ... + 255286.

It is an arithmetic number, because the mean of its divisors is an integer number (612771885).

Almost surely, 220155132240 is an apocalyptic number.

20155132240 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 20155132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24510875400).

20155132240 is an abundant number, since it is smaller than the sum of its proper divisors (28866618560).

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

20155132240 is a wasteful number, since it uses less digits than its factorization.

20155132240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97744 (or 97738 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 20155132240 its reverse (4223155102), we get a palindrome (24378287342).

The spelling of 20155132240 in words is "twenty billion, one hundred fifty-five million, one hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 89 116 145 178 232 290 356 445 464 580 712 890 1160 1424 1780 2320 2581 3560 5162 7120 10324 12905 20648 25810 41296 51620 97613 103240 195226 206480 390452 488065 780904 976130 1561808 1952260 2830777 3904520 5661554 7809040 8687557 11323108 14153885 17375114 22646216 28307770 34750228 43437785 45292432 56615540 69500456 86875570 113231080 139000912 173751140 226462160 251939153 347502280 503878306 695004560 1007756612 1259695765 2015513224 2519391530 4031026448 5038783060 10077566120 20155132240