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22987440 = 2432574561
BaseRepresentation
bin101011110110…
…0001010110000
31121020212211200
41113230022300
521341044230
62140411200
7366250530
oct127541260
947225750
1022987440
1111a80893
127846b00
1349bb148
1430a54c0
152041160
hex15ec2b0

22987440 has 120 divisors (see below), whose sum is σ = 88247328. Its totient is φ = 5253120.

The previous prime is 22987439. The next prime is 22987463. The reversal of 22987440 is 4478922.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 22987395 and 22987404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2760 + ... + 7320.

Almost surely, 222987440 is an apocalyptic number.

22987440 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 22987440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44123664).

22987440 is an abundant number, since it is smaller than the sum of its proper divisors (65259888).

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

22987440 is a wasteful number, since it uses less digits than its factorization.

22987440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4587 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 22987440 is about 4794.5218739724. The cubic root of 22987440 is about 284.3349219371.

The spelling of 22987440 in words is "twenty-two million, nine hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 4561 5040 9122 13683 18244 22805 27366 31927 36488 41049 45610 54732 63854 68415 72976 82098 91220 95781 109464 127708 136830 159635 164196 182440 191562 205245 218928 255416 273660 287343 319270 328392 364880 383124 410490 478905 510832 547320 574686 638540 656784 766248 820980 957810 1094640 1149372 1277080 1436715 1532496 1641960 1915620 2298744 2554160 2873430 3283920 3831240 4597488 5746860 7662480 11493720 22987440