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22790240 = 2551123563
BaseRepresentation
bin101011011110…
…0000001100000
31120212212022222
41112330001200
521313241430
62132250212
7364466564
oct126740140
946785288
1022790240
1111956710
127770968
13494c465
1430536a4
1520029e5
hex15bc060

22790240 has 96 divisors (see below), whose sum is σ = 61399296. Its totient is φ = 7912960.

The previous prime is 22790231. The next prime is 22790267. The reversal of 22790240 is 4209722.

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, 40199 + ... + 40761.

It is an arithmetic number, because the mean of its divisors is an integer number (639576).

Almost surely, 222790240 is an apocalyptic number.

22790240 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 22790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30699648).

22790240 is an abundant number, since it is smaller than the sum of its proper divisors (38609056).

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

22790240 is a wasteful number, since it uses less digits than its factorization.

22790240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 22790240 is about 4773.9124415934. The cubic root of 22790240 is about 283.5195208375.

Adding to 22790240 its reverse (4209722), we get a palindrome (26999962).

The spelling of 22790240 in words is "twenty-two million, seven hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 563 736 880 920 1012 1126 1265 1760 1840 2024 2252 2530 2815 3680 4048 4504 5060 5630 6193 8096 9008 10120 11260 12386 12949 18016 20240 22520 24772 25898 30965 40480 45040 49544 51796 61930 64745 90080 99088 103592 123860 129490 142439 198176 207184 247720 258980 284878 414368 495440 517960 569756 712195 990880 1035920 1139512 1424390 2071840 2279024 2848780 4558048 5697560 11395120 22790240