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4220002040 = 235533535639
BaseRepresentation
bin1111101110001000…
…0001111011111000
3101220002200022111212
43323202001323320
532120310031130
61534425142252
7206401265642
oct37342017370
911802608455
104220002040
111876098aa1
1299932a988
13523390037
142c0661892
1519a730e95
hexfb881ef8

4220002040 has 64 divisors (see below), whose sum is σ = 9703281600. Its totient is φ = 1651167232.

The previous prime is 4220001977. The next prime is 4220002043. The reversal of 4220002040 is 402000224.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220002043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745541 + ... + 751179.

It is an arithmetic number, because the mean of its divisors is an integer number (151613775).

Almost surely, 24220002040 is an apocalyptic number.

4220002040 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 4220002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851640800).

4220002040 is an abundant number, since it is smaller than the sum of its proper divisors (5483279560).

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

4220002040 is a wasteful number, since it uses less digits than its factorization.

4220002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4220002040 is about 64961.5427772463. The cubic root of 4220002040 is about 1615.9858499153.

Adding to 4220002040 its reverse (402000224), we get a palindrome (4622002264).

The spelling of 4220002040 in words is "four billion, two hundred twenty million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 353 424 530 706 1060 1412 1765 2120 2824 3530 5639 7060 11278 14120 18709 22556 28195 37418 45112 56390 74836 93545 112780 149672 187090 225560 298867 374180 597734 748360 1195468 1494335 1990567 2390936 2988670 3981134 5977340 7962268 9952835 11954680 15924536 19905670 39811340 79622680 105500051 211000102 422000204 527500255 844000408 1055000510 2110001020 4220002040