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99224496 = 24327173569
BaseRepresentation
bin1011110101000…
…00101110110000
320220201010102100
411322200232300
5200400140441
613502420400
72313252150
oct572405660
9226633370
1099224496
1151011918
1229291700
1317731827
14d26c760
158a9ecb6
hex5ea0bb0

99224496 has 120 divisors (see below), whose sum is σ = 319756320. Its totient is φ = 28136448.

The previous prime is 99224483. The next prime is 99224497. The reversal of 99224496 is 69442299.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99224497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174100 + ... + 174668.

It is an arithmetic number, because the mean of its divisors is an integer number (2664636).

Almost surely, 299224496 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 99224496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159878160).

99224496 is an abundant number, since it is smaller than the sum of its proper divisors (220531824).

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

99224496 is a wasteful number, since it uses less digits than its factorization.

99224496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 754 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 99224496 is about 9961.1493312770. The cubic root of 99224496 is about 462.9559113804.

The spelling of 99224496 in words is "ninety-nine million, two hundred twenty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 173 252 336 346 504 519 569 692 1008 1038 1138 1211 1384 1557 1707 2076 2276 2422 2768 3114 3414 3633 3983 4152 4552 4844 5121 6228 6828 7266 7966 8304 9104 9688 10242 10899 11949 12456 13656 14532 15932 19376 20484 21798 23898 24912 27312 29064 31864 35847 40968 43596 47796 58128 63728 71694 81936 87192 95592 98437 143388 174384 191184 196874 286776 295311 393748 573552 590622 689059 787496 885933 1181244 1378118 1574992 1771866 2067177 2362488 2756236 3543732 4134354 4724976 5512472 6201531 7087464 8268708 11024944 12403062 14174928 16537416 24806124 33074832 49612248 99224496