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99922416 = 24311971951
BaseRepresentation
bin1011111010010…
…11000111110000
320222000120210020
411331023013300
5201040004131
613525403440
72322216666
oct575130760
9228016706
1099922416
1151449210
1229569580
13179173b9
14d3b0c36
158b8b996
hex5f4b1f0

99922416 has 80 divisors (see below), whose sum is σ = 284648448. Its totient is φ = 29952000.

The previous prime is 99922399. The next prime is 99922441. The reversal of 99922416 is 61422999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50241 + ... + 52191.

Almost surely, 299922416 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 99922416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142324224).

99922416 is an abundant number, since it is smaller than the sum of its proper divisors (184726032).

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

99922416 is a wasteful number, since it uses less digits than its factorization.

99922416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2064 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 99922416 is about 9996.1200472984. The cubic root of 99922416 is about 464.0388146285.

The spelling of 99922416 in words is "ninety-nine million, nine hundred twenty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 264 291 388 528 582 776 1067 1164 1552 1951 2134 2328 3201 3902 4268 4656 5853 6402 7804 8536 11706 12804 15608 17072 21461 23412 25608 31216 42922 46824 51216 64383 85844 93648 128766 171688 189247 257532 343376 378494 515064 567741 756988 1030128 1135482 1513976 2081717 2270964 3027952 4163434 4541928 6245151 8326868 9083856 12490302 16653736 24980604 33307472 49961208 99922416