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10166022240 = 2535111925383
BaseRepresentation
bin10010111011111000…
…10011000001100000
3222020111011102211020
421131330103001200
5131310000202430
64400433045440
7506631522543
oct113574230140
928214142736
1010166022240
1143474aaa80
121b786b6880
13c6020909a
146c621c85a
153e7754b10
hex25df13060

10166022240 has 96 divisors (see below), whose sum is σ = 34934167296. Its totient is φ = 2464488960.

The previous prime is 10166022227. The next prime is 10166022259. The reversal of 10166022240 is 4222066101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10166022240.

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, 957412 + ... + 967971.

It is an arithmetic number, because the mean of its divisors is an integer number (363897576).

Almost surely, 210166022240 is an apocalyptic number.

10166022240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10166022240 is an abundant number, since it is smaller than the sum of its proper divisors (24768145056).

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

10166022240 is a wasteful number, since it uses less digits than its factorization.

10166022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925412 (or 1925404 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10166022240 its reverse (4222066101), we get a palindrome (14388088341).

The spelling of 10166022240 in words is "ten billion, one hundred sixty-six million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 1925383 3850766 5776149 7701532 9626915 11552298 15403064 19253830 21179213 23104596 28880745 30806128 38507660 42358426 46209192 57761490 61612256 63537639 77015320 84716852 92418384 105896065 115522980 127075278 154030640 169433704 184836768 211792130 231045960 254150556 308061280 317688195 338867408 423584260 462091920 508301112 635376390 677734816 847168520 924183840 1016602224 1270752780 1694337040 2033204448 2541505560 3388674080 5083011120 10166022240