Search a number
-
+
106225512252 = 22310723825527
BaseRepresentation
bin110001011101110001…
…0001010111100111100
3101011012001001010120120
41202323202022330330
53220022212343002
6120444353214540
710450236645666
oct1427342127474
9334161033516
10106225512252
1141060594652
1218706861450
13a02b525bc2
1451d9bb3536
152b6aa6acbc
hex18bb88af3c

106225512252 has 24 divisors (see below), whose sum is σ = 247882943616. Its totient is φ = 35405159088.

The previous prime is 106225512199. The next prime is 106225512307. The reversal of 106225512252 is 252215522601.

It is a happy number.

It is a super-2 number, since 2×1062255122522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284088 + ... + 541439.

It is an arithmetic number, because the mean of its divisors is an integer number (10328455984).

Almost surely, 2106225512252 is an apocalyptic number.

106225512252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106225512252 is an abundant number, since it is smaller than the sum of its proper divisors (141657431364).

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

106225512252 is a wasteful number, since it uses less digits than its factorization.

106225512252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836257 (or 836255 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 106225512252 in words is "one hundred six billion, two hundred twenty-five million, five hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 10723 21446 32169 42892 64338 128676 825527 1651054 2476581 3302108 4953162 9906324 8852126021 17704252042 26556378063 35408504084 53112756126 106225512252