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105474228 = 22323401953
BaseRepresentation
bin1100100100101…
…10100010110100
321100110122102220
412102112202310
5204000133403
614244402340
72420342016
oct622264264
9240418386
10105474228
11545a0392
122b3a63b0
1318b0c3b2
14100181b6
1593d6953
hex64968b4

105474228 has 48 divisors (see below), whose sum is σ = 257717376. Its totient is φ = 33510400.

The previous prime is 105474223. The next prime is 105474233. The reversal of 105474228 is 822474501.

It is an interprime number because it is at equal distance from previous prime (105474223) and next prime (105474233).

It is a super-2 number, since 2×1054742282 = 22249625544391968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105474223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110200 + ... + 111152.

It is an arithmetic number, because the mean of its divisors is an integer number (5369112).

Almost surely, 2105474228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105474228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128858688).

105474228 is an abundant number, since it is smaller than the sum of its proper divisors (152243148).

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

105474228 is a wasteful number, since it uses less digits than its factorization.

105474228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 105474228 is about 10270.0646541295. The cubic root of 105474228 is about 472.4785735364.

The spelling of 105474228 in words is "one hundred five million, four hundred seventy-four thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 401 802 953 1203 1604 1906 2406 2859 3812 4812 5718 9223 11436 18446 21919 27669 36892 43838 55338 65757 87676 110676 131514 263028 382153 764306 1146459 1528612 2292918 4585836 8789519 17579038 26368557 35158076 52737114 105474228