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192950016 = 2837191889
BaseRepresentation
bin10111000000000…
…10111100000000
3111110001212122220
423200002330000
5343343400031
631051331040
74532022330
oct1340027400
9443055586
10192950016
1199a08226
1254750a80
1330c8940c
141b8a90c0
1511e15596
hexb802f00

192950016 has 144 divisors (see below), whose sum is σ = 618105600. Its totient is φ = 52199424.

The previous prime is 192949973. The next prime is 192950027. The reversal of 192950016 is 610059291.

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, 101200 + ... + 103088.

It is an arithmetic number, because the mean of its divisors is an integer number (4292400).

Almost surely, 2192950016 is an apocalyptic number.

192950016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 192950016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309052800).

192950016 is an abundant number, since it is smaller than the sum of its proper divisors (425155584).

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

192950016 is a wasteful number, since it uses less digits than its factorization.

192950016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 192950016 is about 13890.6449094346. The cubic root of 192950016 is about 577.8497631984.

The spelling of 192950016 in words is "one hundred ninety-two million, nine hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 1889 2128 2432 2688 3192 3648 3778 4256 4864 5376 5667 6384 7296 7556 8512 11334 12768 13223 14592 15112 17024 22668 25536 26446 30224 34048 35891 39669 45336 51072 52892 60448 71782 79338 90672 102144 105784 107673 120896 143564 158676 181344 211568 215346 241792 251237 287128 317352 362688 423136 430692 483584 502474 574256 634704 725376 753711 846272 861384 1004948 1148512 1269408 1450752 1507422 1692544 1722768 2009896 2297024 2538816 3014844 3385088 3445536 4019792 4594048 5077632 6029688 6891072 8039584 9188096 10155264 12059376 13782144 16079168 24118752 27564288 32158336 48237504 64316672 96475008 192950016