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19922167080 = 2334559310369
BaseRepresentation
bin10010100011011101…
…000010010100101000
31220102102001221120000
4102203131002110220
5311300033321310
613052505103000
71303455424524
oct224335022450
956372057500
1019922167080
1184a35a8aa2
123a3ba87a60
131b56525a5a
14d6dc24d84
157b8ee44c0
hex4a3742528

19922167080 has 160 divisors (see below), whose sum is σ = 67080004200. Its totient is φ = 5303107584.

The previous prime is 19922167063. The next prime is 19922167087. The reversal of 19922167080 is 8076122991.

It can be written as a sum of positive squares in 4 ways, for example, as 12044184516 + 7877982564 = 109746^2 + 88758^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19922167087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1916136 + ... + 1926504.

Almost surely, 219922167080 is an apocalyptic number.

19922167080 is a gapful number since it is divisible by the number (10) 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 19922167080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540002100).

19922167080 is an abundant number, since it is smaller than the sum of its proper divisors (47157837120).

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

19922167080 is a wasteful number, since it uses less digits than its factorization.

19922167080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10972 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 19922167080 in words is "nineteen billion, nine hundred twenty-two million, one hundred sixty-seven thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 593 648 810 1080 1186 1620 1779 2372 2965 3240 3558 4744 5337 5930 7116 8895 10369 10674 11860 14232 16011 17790 20738 21348 23720 26685 31107 32022 35580 41476 42696 48033 51845 53370 62214 64044 71160 80055 82952 93321 96066 103690 106740 124428 128088 155535 160110 186642 192132 207380 213480 240165 248856 279963 311070 320220 373284 384264 414760 466605 480330 559926 622140 640440 746568 839889 933210 960660 1119852 1244280 1399815 1679778 1866420 1921320 2239704 2799630 3359556 3732840 4199445 5599260 6148817 6719112 8398890 11198520 12297634 16797780 18446451 24595268 30744085 33595560 36892902 49190536 55339353 61488170 73785804 92232255 110678706 122976340 147571608 166018059 184464510 221357412 245952680 276696765 332036118 368929020 442714824 498054177 553393530 664072236 737858040 830090295 996108354 1106787060 1328144472 1660180590 1992216708 2213574120 2490270885 3320361180 3984433416 4980541770 6640722360 9961083540 19922167080