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2420224440 = 2335107188491
BaseRepresentation
bin1001000001000001…
…1011000110111000
320020200002010210020
42100100123012320
514424034140230
61040053450440
7113655365634
oct22020330670
96220063706
102420224440
111032176497
12576640a20
132c754a28a
1418d605dc4
15e271d810
hex9041b1b8

2420224440 has 64 divisors (see below), whose sum is σ = 7328568960. Its totient is φ = 639358080.

The previous prime is 2420224409. The next prime is 2420224441. The reversal of 2420224440 is 444220242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2420224440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420224441) 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, 81406 + ... + 107085.

It is an arithmetic number, because the mean of its divisors is an integer number (114508890).

Almost surely, 22420224440 is an apocalyptic number.

2420224440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420224440 is an abundant number, since it is smaller than the sum of its proper divisors (4908344520).

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

2420224440 is a wasteful number, since it uses less digits than its factorization.

2420224440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188612 (or 188608 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2420224440 is about 49195.7766480010. The cubic root of 2420224440 is about 1342.6161927945.

Adding to 2420224440 its reverse (444220242), we get a palindrome (2864444682).

The spelling of 2420224440 in words is "two billion, four hundred twenty million, two hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1605 2140 2568 3210 4280 6420 12840 188491 376982 565473 753964 942455 1130946 1507928 1884910 2261892 2827365 3769820 4523784 5654730 7539640 11309460 20168537 22618920 40337074 60505611 80674148 100842685 121011222 161348296 201685370 242022444 302528055 403370740 484044888 605056110 806741480 1210112220 2420224440