Search a number
-
+
213225002240 = 285616740759
BaseRepresentation
bin1100011010010100110…
…0110101010100000000
3202101101000110102000012
43012211030311110000
511443141100032430
6241542035444052
721255625420565
oct3064514652400
9671330412005
10213225002240
1182478a56118
12353a8756628
13171511c03a3
14a46a69a86c
15582e51d695
hex31a5335500

213225002240 has 144 divisors (see below), whose sum is σ = 526874194560. Its totient is φ = 82637660160.

The previous prime is 213225002239. The next prime is 213225002293. The reversal of 213225002240 is 42200522312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5210981 + ... + 5251739.

Almost surely, 2213225002240 is an apocalyptic number.

213225002240 is a gapful number since it is divisible by the number (20) 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 213225002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263437097280).

213225002240 is an abundant number, since it is smaller than the sum of its proper divisors (313649192320).

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

213225002240 is an equidigital number, since it uses as much as digits as its factorization.

213225002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40908 (or 40894 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 213225002240 its reverse (42200522312), we get a palindrome (255425524552).

The spelling of 213225002240 in words is "two hundred thirteen billion, two hundred twenty-five million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 67 80 122 128 134 160 244 256 268 305 320 335 488 536 610 640 670 976 1072 1220 1280 1340 1952 2144 2440 2680 3904 4087 4288 4880 5360 7808 8174 8576 9760 10720 15616 16348 17152 19520 20435 21440 32696 39040 40759 40870 42880 65392 78080 81518 81740 85760 130784 163036 163480 203795 261568 326072 326960 407590 523136 652144 653920 815180 1046272 1304288 1307840 1630360 2486299 2608576 2615680 2730853 3260720 4972598 5217152 5231360 5461706 6521440 9945196 10434304 10923412 12431495 13042880 13654265 19890392 21846824 24862990 26085760 27308530 39780784 43693648 49725980 52171520 54617060 79561568 87387296 99451960 109234120 159123136 166582033 174774592 198903920 218468240 318246272 333164066 349549184 397807840 436936480 636492544 666328132 699098368 795615680 832910165 873872960 1332656264 1591231360 1665820330 1747745920 2665312528 3182462720 3331640660 3495491840 5330625056 6663281320 10661250112 13326562640 21322500224 26653125280 42645000448 53306250560 106612501120 213225002240