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98068224 = 283149857
BaseRepresentation
bin1011101100001…
…10011100000000
320211112101022110
411312012130000
5200101140344
613421535320
72300365122
oct566063400
9224471273
1098068224
11503a2121
1228a14540
1317418447
14d04b212
1589223b9
hex5d86700

98068224 has 72 divisors (see below), whose sum is σ = 263062800. Its totient is φ = 32432128.

The previous prime is 98068219. The next prime is 98068231. The reversal of 98068224 is 42286089.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114004 + ... + 114860.

It is an arithmetic number, because the mean of its divisors is an integer number (3653650).

Almost surely, 298068224 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 98068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131531400).

98068224 is an abundant number, since it is smaller than the sum of its proper divisors (164994576).

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

98068224 is a wasteful number, since it uses less digits than its factorization.

98068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 98068224 is about 9902.9401694648. The cubic root of 98068224 is about 461.1505916014.

The spelling of 98068224 in words is "ninety-eight million, sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 768 857 894 1192 1714 1788 2384 2571 3428 3576 4768 5142 6856 7152 9536 10284 13712 14304 19072 20568 27424 28608 38144 41136 54848 57216 82272 109696 114432 127693 164544 219392 255386 329088 383079 510772 658176 766158 1021544 1532316 2043088 3064632 4086176 6129264 8172352 12258528 16344704 24517056 32689408 49034112 98068224