Search a number
-
+
212412002572 = 227211827119131
BaseRepresentation
bin1100010111010010111…
…1011111000100001100
3202022021100122202010101
43011310233133010030
511440004433040242
6241325234220444
721226524142300
oct3056457370414
9668240582111
10212412002572
11820a1046470
1235200424724
13170519384b3
14a3d0709d00
1557d2e799b7
hex3174bdf10c

212412002572 has 72 divisors (see below), whose sum is σ = 472294525248. Its totient is φ = 82657159200.

The previous prime is 212412002527. The next prime is 212412002581. The reversal of 212412002572 is 275200214212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 212412002572.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1723447 + ... + 1842577.

It is an arithmetic number, because the mean of its divisors is an integer number (6559646184).

Almost surely, 2212412002572 is an apocalyptic number.

212412002572 is a gapful number since it is divisible by the number (22) 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 212412002572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236147262624).

212412002572 is an abundant number, since it is smaller than the sum of its proper divisors (259882522676).

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

212412002572 is a wasteful number, since it uses less digits than its factorization.

212412002572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119987 (or 119978 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 212412002572 its reverse (275200214212), we get a palindrome (487612216784).

The spelling of 212412002572 in words is "two hundred twelve billion, four hundred twelve million, two thousand, five hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 827 1078 1654 2156 3308 5789 9097 11578 18194 23156 36388 40523 63679 81046 119131 127358 162092 238262 254716 445753 476524 833917 891506 1310441 1667834 1783012 2620882 3335668 5241764 5837419 9173087 11674838 18346174 23349676 36692348 64211609 98521337 128423218 197042674 256846436 394085348 689649359 1083734707 1379298718 2167469414 2758597436 4334938828 4827545513 7586142949 9655091026 15172285898 19310182052 30344571796 53103000643 106206001286 212412002572