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4022200240 = 245292191313
BaseRepresentation
bin1110111110111101…
…1110011110110000
3101101022110221110021
43233233132132300
531214140401430
61503041413224
7201450065212
oct35757363660
911338427407
104022200240
111784477633
1294303a214
134c13c5456
142a22925b2
151881ad07a
hexefbde7b0

4022200240 has 120 divisors (see below), whose sum is σ = 9767017728. Its totient is φ = 1540331520.

The previous prime is 4022200223. The next prime is 4022200241. The reversal of 4022200240 is 420022204.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4022200241) 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, 12850324 + ... + 12850636.

Almost surely, 24022200240 is an apocalyptic number.

4022200240 is a gapful number since it is divisible by the number (40) 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 4022200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883508864).

4022200240 is an abundant number, since it is smaller than the sum of its proper divisors (5744817488).

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

4022200240 is a wasteful number, since it uses less digits than its factorization.

4022200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4022200240 is about 63420.8186639056. The cubic root of 4022200240 is about 1590.3323593550.

Adding to 4022200240 its reverse (420022204), we get a palindrome (4442222444).

The spelling of 4022200240 in words is "four billion, twenty-two million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 191 232 290 313 382 464 580 626 764 841 955 1160 1252 1528 1565 1682 1910 2320 2504 3056 3130 3364 3820 4205 5008 5539 6260 6728 7640 8410 9077 11078 12520 13456 15280 16820 18154 22156 25040 27695 33640 36308 44312 45385 55390 59783 67280 72616 88624 90770 110780 119566 145232 160631 181540 221560 239132 263233 298915 321262 363080 443120 478264 526466 597830 642524 726160 803155 956528 1052932 1195660 1285048 1316165 1606310 1733707 2105864 2391320 2570096 2632330 3212620 3467414 4211728 4782640 5264660 6425240 6934828 8668535 10529320 12850480 13869656 17337070 21058640 27739312 34674140 50277503 69348280 100555006 138696560 201110012 251387515 402220024 502775030 804440048 1005550060 2011100120 4022200240