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199744440 = 23357237791
BaseRepresentation
bin10111110011111…
…01101110111000
3111220212001212020
423321331232320
5402113310230
631453114440
74643541210
oct1371755670
9456761766
10199744440
11a2828a55
1256a88a20
13324c7b9c
141c757240
1512808810
hexbe7dbb8

199744440 has 64 divisors (see below), whose sum is σ = 684840960. Its totient is φ = 45655680.

The previous prime is 199744429. The next prime is 199744453. The reversal of 199744440 is 44447991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 199744392 and 199744401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118056 + ... + 119735.

It is an arithmetic number, because the mean of its divisors is an integer number (10700640).

Almost surely, 2199744440 is an apocalyptic number.

199744440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199744440 is an abundant number, since it is smaller than the sum of its proper divisors (485096520).

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

199744440 is a wasteful number, since it uses less digits than its factorization.

199744440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237812 (or 237808 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 199744440 is about 14133.0973250735. The cubic root of 199744440 is about 584.5543541482.

The spelling of 199744440 in words is "one hundred ninety-nine million, seven hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 237791 475582 713373 951164 1188955 1426746 1664537 1902328 2377910 2853492 3329074 3566865 4755820 4993611 5706984 6658148 7133730 8322685 9511640 9987222 13316296 14267460 16645370 19974444 24968055 28534920 33290740 39948888 49936110 66581480 99872220 199744440