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98224120 = 23531113701
BaseRepresentation
bin1011101101011…
…00011111111000
320211211022011101
411312230133320
5200121132440
613425141144
72301614461
oct566543770
9224738141
1098224120
1150499265
1228a8a7b4
13174713a7
14d08bd68
15895369a
hex5dac7f8

98224120 has 64 divisors (see below), whose sum is σ = 230480640. Its totient is φ = 37632000.

The previous prime is 98224103. The next prime is 98224121. The reversal of 98224120 is 2142289.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98224121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139770 + ... + 140470.

It is an arithmetic number, because the mean of its divisors is an integer number (3601260).

Almost surely, 298224120 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 98224120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115240320).

98224120 is an abundant number, since it is smaller than the sum of its proper divisors (132256520).

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

98224120 is a wasteful number, since it uses less digits than its factorization.

98224120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 98224120 is about 9910.8082415109. The cubic root of 98224120 is about 461.3948211412.

The spelling of 98224120 in words is "ninety-eight million, two hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 113 124 155 226 248 310 452 565 620 701 904 1130 1240 1402 2260 2804 3503 3505 4520 5608 7006 7010 14012 14020 17515 21731 28024 28040 35030 43462 70060 79213 86924 108655 140120 158426 173848 217310 316852 396065 434620 633704 792130 869240 1584260 2455603 3168520 4911206 9822412 12278015 19644824 24556030 49112060 98224120