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2244224211330 = 2352329112399871
BaseRepresentation
bin100000101010000110001…
…011111101100110000010
321221112201211210020112110
4200222012023331212002
5243232132344230310
64434552105240150
7321065653022553
oct40520613754602
97845654706473
102244224211330
11795852073572
12302b42193056
13133824b3aa1a
147a89a17832a
153d59dbebd20
hex20a862fd982

2244224211330 has 128 divisors (see below), whose sum is σ = 5819357675520. Its totient is φ = 552202801920.

The previous prime is 2244224211329. The next prime is 2244224211331. The reversal of 2244224211330 is 331124224422.

It is an interprime number because it is at equal distance from previous prime (2244224211329) and next prime (2244224211331).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2244224211331) 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, 22421295 + ... + 22521165.

It is an arithmetic number, because the mean of its divisors is an integer number (45463731840).

Almost surely, 22244224211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2244224211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909678837760).

2244224211330 is an abundant number, since it is smaller than the sum of its proper divisors (3575133464190).

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

2244224211330 is a wasteful number, since it uses less digits than its factorization.

2244224211330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101056.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2244224211330 its reverse (331124224422), we get a palindrome (2575348435752).

The spelling of 2244224211330 in words is "two trillion, two hundred forty-four billion, two hundred twenty-four million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 230 290 345 435 667 690 870 1123 1334 2001 2246 3335 3369 4002 5615 6670 6738 10005 11230 16845 20010 25829 32567 33690 51658 65134 77487 97701 99871 129145 154974 162835 195402 199742 258290 299613 325670 387435 488505 499355 599226 749041 774870 977010 998710 1498065 1498082 2247123 2297033 2896259 2996130 3745205 4494246 4594066 5792518 6891099 7490410 8688777 11235615 11485165 13782198 14481295 17377554 22471230 22970330 28962590 34455495 43443885 66613957 68910990 86887770 112155133 133227914 199841871 224310266 333069785 336465399 399683742 560775665 666139570 672930798 999209355 1121551330 1682326995 1998418710 2579568059 3252498857 3364653990 5159136118 6504997714 7738704177 9757496571 12897840295 15477408354 16262494285 19514993142 25795680590 32524988570 38693520885 48787482855 74807473711 77387041770 97574965710 149614947422 224422421133 374037368555 448844842266 748074737110 1122112105665 2244224211330