Search a number
-
+
202211222112202 = 217716311321100493
BaseRepresentation
bin101101111110100011111000…
…000100000100011111001010
3222111222012111202010221221011
4231332203320010010133022
5203001012040330042302
61554022315241234134
760410164406204062
oct5576437004043712
9874865452127834
10202211222112202
1159481330279326
121a819a8119294a
1388aa589a969a4
1437d110ab623a2
151859ea08065d7
hexb7e8f81047ca

202211222112202 has 64 divisors (see below), whose sum is σ = 326448684338688. Its totient is φ = 93597444864000.

The previous prime is 202211222112197. The next prime is 202211222112203.

202211222112202 is nontrivially palindromic in base 10.

202211222112202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022112221122022 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202211222112203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2012141868 + ... + 2012242360.

It is an arithmetic number, because the mean of its divisors is an integer number (5100760692792).

Almost surely, 2202211222112202 is an apocalyptic number.

202211222112202 is a deficient number, since it is larger than the sum of its proper divisors (124237462226486).

202211222112202 is a wasteful number, since it uses less digits than its factorization.

202211222112202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102535.

The product of its (nonzero) digits is 512, while the sum is 22.

The spelling of 202211222112202 in words is "two hundred two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, two hundred two".

Divisors: 1 2 17 34 71 142 631 1207 1262 1321 2414 2642 10727 21454 22457 44801 44914 89602 93791 100493 187582 200986 761617 833551 1523234 1594447 1667102 1708381 3188894 3416762 7135003 14170367 14270006 28340734 59182121 63411083 118364242 121295051 126822166 132751253 242590102 265502506 1006096057 1077988411 2012192114 2155976822 2256771301 4502186893 4513542602 9004373786 9425338963 18850677926 76537177181 83766040643 153074354362 160230762371 167532081286 320461524742 1424022690931 2848045381862 5947388885653 11894777771306 101105611056101 202211222112202