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2420224002 = 233731712909
BaseRepresentation
bin1001000001000001…
…1011000000000010
320020200002010012000
42100100123000002
514424034132002
61040053444430
7113655364440
oct22020330002
96220063160
102420224002
111032176129
12576640716
132c754a011
1418d605b90
15e271d61c
hex9041b002

2420224002 has 128 divisors (see below), whose sum is σ = 6436454400. Its totient is φ = 659534400.

The previous prime is 2420223991. The next prime is 2420224003. The reversal of 2420224002 is 2004220242.

2420224002 is a `hidden beast` number, since 2 + 420 + 2 + 240 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2420224003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830524 + ... + 833432.

It is an arithmetic number, because the mean of its divisors is an integer number (50284800).

Almost surely, 22420224002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218227200).

2420224002 is an abundant number, since it is smaller than the sum of its proper divisors (4016230398).

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

2420224002 is a wasteful number, since it uses less digits than its factorization.

2420224002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3029 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2420224002 is about 49195.7721963992. The cubic root of 2420224002 is about 1342.6161118012.

Adding to 2420224002 its reverse (2004220242), we get a palindrome (4424444244).

The spelling of 2420224002 in words is "two billion, four hundred twenty million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 71 93 126 142 186 189 213 217 279 378 426 434 497 558 639 651 837 994 1278 1302 1491 1674 1917 1953 2201 2909 2982 3834 3906 4402 4473 5818 5859 6603 8727 8946 11718 13206 13419 15407 17454 19809 20363 26181 26838 30814 39618 40726 46221 52362 59427 61089 78543 90179 92442 118854 122178 138663 157086 180358 183267 206539 270537 277326 366534 413078 415989 541074 549801 619617 631253 811611 831978 1099602 1239234 1262506 1445773 1623222 1858851 1893759 2434833 2891546 3717702 3787518 4337319 4869666 5576553 5681277 6402709 8674638 11153106 11362554 12805418 13011957 17043831 19208127 26023914 34087662 38416254 39035871 44818963 57624381 78071742 89637926 115248762 134456889 172873143 268913778 345746286 403370667 806741334 1210112001 2420224002