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222056240 = 24572371531
BaseRepresentation
bin11010011110001…
…00111100110000
3120110211121220012
431033010330300
5423321244430
634011234052
75334306200
oct1517047460
9513747805
10222056240
1110438815a
1262448928
133700a633
14216c4400
1514764695
hexd3c4f30

222056240 has 120 divisors (see below), whose sum is σ = 617206032. Its totient is φ = 74027520.

The previous prime is 222056213. The next prime is 222056243. The reversal of 222056240 is 42650222.

222056240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (222056243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144275 + ... + 145805.

Almost surely, 2222056240 is an apocalyptic number.

222056240 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 222056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308603016).

222056240 is an abundant number, since it is smaller than the sum of its proper divisors (395149792).

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

222056240 is a wasteful number, since it uses less digits than its factorization.

222056240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 222056240 is about 14901.5515970653. The cubic root of 222056240 is about 605.5560218584.

The spelling of 222056240 in words is "two hundred twenty-two million, fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 49 56 70 74 80 98 112 140 148 185 196 245 259 280 296 370 392 490 518 560 592 740 784 980 1036 1295 1480 1531 1813 1960 2072 2590 2960 3062 3626 3920 4144 5180 6124 7252 7655 9065 10360 10717 12248 14504 15310 18130 20720 21434 24496 29008 30620 36260 42868 53585 56647 61240 72520 75019 85736 107170 113294 122480 145040 150038 171472 214340 226588 283235 300076 375095 396529 428680 453176 566470 600152 750190 793058 857360 906352 1132940 1200304 1500380 1586116 1982645 2265880 2775703 3000760 3172232 3965290 4531760 5551406 6001520 6344464 7930580 11102812 13878515 15861160 22205624 27757030 31722320 44411248 55514060 111028120 222056240