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22992480 = 2532572281
BaseRepresentation
bin101011110110…
…1011001100000
31121021010202100
41113231121200
521341224410
62140450400
7366301320
oct127553140
947233670
1022992480
1111a84655
127849a00
1349c0524
1430a7280
1520428c0
hex15ed660

22992480 has 144 divisors (see below), whose sum is σ = 89709984. Its totient is φ = 5253120.

The previous prime is 22992467. The next prime is 22992491. The reversal of 22992480 is 8429922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8940 + ... + 11220.

It is an arithmetic number, because the mean of its divisors is an integer number (622986).

Almost surely, 222992480 is an apocalyptic number.

22992480 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 22992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44854992).

22992480 is an abundant number, since it is smaller than the sum of its proper divisors (66717504).

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

22992480 is a wasteful number, since it uses less digits than its factorization.

22992480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2309 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 22992480 is about 4795.0474450207. The cubic root of 22992480 is about 284.3557005781.

The spelling of 22992480 in words is "twenty-two million, nine hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2281 2520 3360 4562 5040 6843 9124 10080 11405 13686 15967 18248 20529 22810 27372 31934 34215 36496 41058 45620 47901 54744 63868 68430 72992 79835 82116 91240 95802 102645 109488 127736 136860 143703 159670 164232 182480 191604 205290 218976 239505 255472 273720 287406 319340 328464 364960 383208 410580 479010 510944 547440 574812 638680 656928 718515 766416 821160 958020 1094880 1149624 1277360 1437030 1532832 1642320 1916040 2299248 2554720 2874060 3284640 3832080 4598496 5748120 7664160 11496240 22992480