Search a number
-
+
98220420 = 223254113309
BaseRepresentation
bin1011101101010…
…11100110000100
320211211010002100
411312223212010
5200121023140
613425112100
72301600624
oct566534604
9224733070
1098220420
1150496501
1228a88630
131746c7bc
14d08a884
158952530
hex5dab984

98220420 has 72 divisors (see below), whose sum is σ = 305224920. Its totient is φ = 25551360.

The previous prime is 98220389. The next prime is 98220439. The reversal of 98220420 is 2402289.

It can be written as a sum of positive squares in 4 ways, for example, as 9144576 + 89075844 = 3024^2 + 9438^2 .

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, 726 + ... + 14034.

It is an arithmetic number, because the mean of its divisors is an integer number (4239235).

Almost surely, 298220420 is an apocalyptic number.

98220420 is a gapful number since it is divisible by the number (90) 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 98220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152612460).

98220420 is an abundant number, since it is smaller than the sum of its proper divisors (207004500).

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

98220420 is a wasteful number, since it uses less digits than its factorization.

98220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13365 (or 13360 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 98220420 is about 9910.6215748559. The cubic root of 98220420 is about 461.3890276481.

The spelling of 98220420 in words is "ninety-eight million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 13309 26618 39927 53236 66545 79854 119781 133090 159708 199635 239562 266180 399270 479124 545669 598905 798540 1091338 1197810 1637007 2182676 2395620 2728345 3274014 4911021 5456690 6548028 8185035 9822042 10913380 16370070 19644084 24555105 32740140 49110210 98220420