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104162220 = 22335672879
BaseRepresentation
bin1100011010101…
…10001110101100
321020222222201000
412031112032230
5203131142340
614200320300
72403235641
oct615261654
9236888630
10104162220
1153884688
122aa73090
1318770166
14db95dc8
159227d30
hex63563ac

104162220 has 96 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 27352512.

The previous prime is 104162203. The next prime is 104162221. The reversal of 104162220 is 22261401.

104162220 is a `hidden beast` number, since 1 + 0 + 41 + 622 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104162193 and 104162202.

It is not an unprimeable number, because it can be changed into a prime (104162221) 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, 34741 + ... + 37619.

It is an arithmetic number, because the mean of its divisors is an integer number (3427200).

Almost surely, 2104162220 is an apocalyptic number.

104162220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104162220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

104162220 is an abundant number, since it is smaller than the sum of its proper divisors (224848980).

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

104162220 is a wasteful number, since it uses less digits than its factorization.

104162220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104162220 is about 10205.9894179839. The cubic root of 104162220 is about 470.5113191876.

The spelling of 104162220 in words is "one hundred four million, one hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 2879 3015 3618 4020 5758 6030 7236 8637 9045 11516 12060 14395 17274 18090 25911 28790 34548 36180 43185 51822 57580 77733 86370 103644 129555 155466 172740 192893 259110 310932 385786 388665 518220 578679 771572 777330 964465 1157358 1554660 1736037 1928930 2314716 2893395 3472074 3857860 5208111 5786790 6944148 8680185 10416222 11573580 17360370 20832444 26040555 34720740 52081110 104162220