Search a number
-
+
22142142100 = 22521319896443
BaseRepresentation
bin10100100111110001…
…100100011010010100
32010011010100100210001
4110213301210122110
5330321342021400
614101050541044
71412463050101
oct244761443224
963133310701
1022142142100
1194327310a1
12435b437784
13211b42c340
1411009c1aa8
15898d59a6a
hex527c64694

22142142100 has 72 divisors (see below), whose sum is σ = 54467937440. Its totient is φ = 7745258880.

The previous prime is 22142142007. The next prime is 22142142131. The reversal of 22142142100 is 124124122.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423522 + ... + 472921.

Almost surely, 222142142100 is an apocalyptic number.

22142142100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142142100 is an abundant number, since it is smaller than the sum of its proper divisors (32325795340).

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

22142142100 is a wasteful number, since it uses less digits than its factorization.

22142142100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896489 (or 896482 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22142142100 its reverse (124124122), we get a palindrome (22266266222).

The spelling of 22142142100 in words is "twenty-two billion, one hundred forty-two million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 76 95 100 130 190 247 260 325 380 475 494 650 950 988 1235 1300 1900 2470 4940 6175 12350 24700 896443 1792886 3585772 4482215 8964430 11653759 17032417 17928860 22411075 23307518 34064834 44822150 46615036 58268795 68129668 85162085 89644300 116537590 170324170 221421421 233075180 291343975 340648340 425810425 442842842 582687950 851620850 885685684 1107107105 1165375900 1703241700 2214214210 4428428420 5535535525 11071071050 22142142100