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23198449920 = 283512747569
BaseRepresentation
bin10101100110101111…
…000100000100000000
32012212201222100200220
4111212233010010000
5340002300344140
614353543143040
71450610366532
oct254657040400
965781870626
1023198449920
119924a13868
1245b5144a80
132259222a59
1411a0dc9852
1590b95ebd0
hex566bc4100

23198449920 has 144 divisors (see below), whose sum is σ = 74675005440. Its totient is φ = 6137413632.

The previous prime is 23198449919. The next prime is 23198449933. The reversal of 23198449920 is 2994489132.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 463896 + ... + 511464.

Almost surely, 223198449920 is an apocalyptic number.

23198449920 is a gapful number since it is divisible by the number (20) 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 23198449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37337502720).

23198449920 is an abundant number, since it is smaller than the sum of its proper divisors (51476555520).

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

23198449920 is a wasteful number, since it uses less digits than its factorization.

23198449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47720 (or 47706 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 23198449920 in words is "twenty-three billion, one hundred ninety-eight million, four hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 127 128 160 192 240 254 256 320 381 384 480 508 635 640 762 768 960 1016 1270 1280 1524 1905 1920 2032 2540 3048 3810 3840 4064 5080 6096 7620 8128 10160 12192 15240 16256 20320 24384 30480 32512 40640 47569 48768 60960 81280 95138 97536 121920 142707 162560 190276 237845 243840 285414 380552 475690 487680 570828 713535 761104 951380 1141656 1427070 1522208 1902760 2283312 2854140 3044416 3805520 4566624 5708280 6041263 6088832 7611040 9133248 11416560 12082526 12177664 15222080 18123789 18266496 22833120 24165052 30206315 30444160 36247578 36532992 45666240 48330104 60412630 60888320 72495156 90618945 91332480 96660208 120825260 144990312 181237890 182664960 193320416 241650520 289980624 362475780 386640832 483301040 579961248 724951560 773281664 966602080 1159922496 1449903120 1546563328 1933204160 2319844992 2899806240 3866408320 4639689984 5799612480 7732816640 11599224960 23198449920