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22000430160 = 2432530556153
BaseRepresentation
bin10100011111010100…
…111110110001010000
32002210020200122112200
4110133110332301100
5330024102231120
614035025323200
71406122366542
oct243724766120
962706618480
1022000430160
11936a73a895
12431ba96500
1320c7c72a17
1410c9c53692
1588b6b5e90
hex51f53ec50

22000430160 has 60 divisors (see below), whose sum is σ = 73884780372. Its totient is φ = 5866781184.

The previous prime is 22000430147. The next prime is 22000430161. The reversal of 22000430160 is 6103400022.

It is a happy number.

22000430160 is a `hidden beast` number, since 220 + 0 + 0 + 430 + 16 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16024521744 + 5975908416 = 126588^2 + 77304^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000430161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15277357 + ... + 15278796.

Almost surely, 222000430160 is an apocalyptic number.

22000430160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000430160 is an abundant number, since it is smaller than the sum of its proper divisors (51884350212).

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

22000430160 is a wasteful number, since it uses less digits than its factorization.

22000430160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30556172 (or 30556163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22000430160 its reverse (6103400022), we get a palindrome (28103830182).

The spelling of 22000430160 in words is "twenty-two billion, four hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30556153 61112306 91668459 122224612 152780765 183336918 244449224 275005377 305561530 366673836 458342295 488898448 550010754 611123060 733347672 916684590 1100021508 1222246120 1375026885 1466695344 1833369180 2200043016 2444492240 2750053770 3666738360 4400086032 5500107540 7333476720 11000215080 22000430160