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99280224 = 25322911887
BaseRepresentation
bin1011110101011…
…10010101100000
320220210221212100
411322232111200
5200403431344
613503530400
72313603501
oct572562540
9226727770
1099280224
115104a77a
12292b9a00
1317750cc4
14d284ba8
158ab1569
hex5eae560

99280224 has 72 divisors (see below), whose sum is σ = 292088160. Its totient is φ = 31949568.

The previous prime is 99280199. The next prime is 99280231. The reversal of 99280224 is 42208299.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2409 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (4056780).

Almost surely, 299280224 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 99280224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146044080).

99280224 is an abundant number, since it is smaller than the sum of its proper divisors (192807936).

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

99280224 is a wasteful number, since it uses less digits than its factorization.

99280224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932 (or 11921 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 99280224 is about 9963.9462061976. The cubic root of 99280224 is about 463.0425659855.

The spelling of 99280224 in words is "ninety-nine million, two hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 11887 23774 35661 47548 71322 95096 106983 142644 190192 213966 285288 344723 380384 427932 570576 689446 855864 1034169 1141152 1378892 1711728 2068338 2757784 3102507 3423456 4136676 5515568 6205014 8273352 11031136 12410028 16546704 24820056 33093408 49640112 99280224