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229134515040 = 2533553040397
BaseRepresentation
bin1101010101100101111…
…0110011101101100000
3210220102210000101201000
43111121132303231200
512223231413440130
6253132443512000
722361111146044
oct3253136635540
9726383011630
10229134515040
11891a2507602
12384a8828600
13187b82b39a2
14b1395d6024
155e610dd260
hex35597b3b60

229134515040 has 96 divisors (see below), whose sum is σ = 801970817760. Its totient is φ = 61102536192.

The previous prime is 229134515033. The next prime is 229134515041. The reversal of 229134515040 is 40515431922.

229134515040 is a `hidden beast` number, since 2 + 2 + 9 + 134 + 515 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229134514986 and 229134515004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229134515041) 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, 26515879 + ... + 26524518.

It is an arithmetic number, because the mean of its divisors is an integer number (8353862685).

Almost surely, 2229134515040 is an apocalyptic number.

229134515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229134515040 is an abundant number, since it is smaller than the sum of its proper divisors (572836302720).

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

229134515040 is a wasteful number, since it uses less digits than its factorization.

229134515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53040421 (or 53040407 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 229134515040 its reverse (40515431922), we get a palindrome (269649946962).

The spelling of 229134515040 in words is "two hundred twenty-nine billion, one hundred thirty-four million, five hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 53040397 106080794 159121191 212161588 265201985 318242382 424323176 477363573 530403970 636484764 795605955 848646352 954727146 1060807940 1272969528 1432090719 1591211910 1697292704 1909454292 2121615880 2386817865 2545939056 2864181438 3182423820 3818908584 4243231760 4773635730 5091878112 5728362876 6364847640 7160453595 7637817168 8486463520 9547271460 11456725752 12729695280 14320907190 15275634336 19094542920 22913451504 25459390560 28641814380 38189085840 45826903008 57283628760 76378171680 114567257520 229134515040