Search a number
-
+
22140001416100 = 22521571410191173
BaseRepresentation
bin1010000100010110111101…
…11010110111001110100100
32220101120012202200011220011
411002023132322313032210
510400220210330303400
6115030550511220004
74443363605644561
oct502133672671644
986346182604804
1022140001416100
117066581679997
122596a69817604
13c47a407b4809
145678205c7868
15285da3c648ba
hex1422deeb73a4

22140001416100 has 36 divisors (see below), whose sum is σ = 48349814591764. Its totient is φ = 8799592913280.

The previous prime is 22140001416089. The next prime is 22140001416133. The reversal of 22140001416100 is 161410004122.

It can be written as a sum of positive squares in 6 ways, for example, as 5031255358116 + 17108746057984 = 2243046^2 + 4136272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 705079887 + ... + 705111286.

Almost surely, 222140001416100 is an apocalyptic number.

22140001416100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22140001416100 is an abundant number, since it is smaller than the sum of its proper divisors (26209813175664).

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

22140001416100 is a wasteful number, since it uses less digits than its factorization.

22140001416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410191344 (or 1410191337 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 22140001416100 in words is "twenty-two trillion, one hundred forty billion, one million, four hundred sixteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15700 1410191173 2820382346 5640764692 7050955865 14101911730 28203823460 35254779325 70509558650 141019117300 221400014161 442800028322 885600056644 1107000070805 2214000141610 4428000283220 5535000354025 11070000708050 22140001416100