Search a number
-
+
20010221440 = 275112842361
BaseRepresentation
bin10010101000101100…
…111011111110000000
31220122112202120102121
4102220230323332000
5311440104041230
613105332254024
71305605035006
oct225054737600
956575676377
1020010221440
1185392805a0
123a65471314
131b6b846221
14d7b7c6a76
157c1ad977a
hex4a8b3bf80

20010221440 has 64 divisors (see below), whose sum is σ = 52185766320. Its totient is φ = 7276441600.

The previous prime is 20010221419. The next prime is 20010221443. The reversal of 20010221440 is 4412201002.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010221443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1414141 + ... + 1428220.

Almost surely, 220010221440 is an apocalyptic number.

20010221440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010221440 is an abundant number, since it is smaller than the sum of its proper divisors (32175544880).

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

20010221440 is a wasteful number, since it uses less digits than its factorization.

20010221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842391 (or 2842379 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20010221440 its reverse (4412201002), we get a palindrome (24422422442).

The spelling of 20010221440 in words is "twenty billion, ten million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 2842361 5684722 11369444 14211805 22738888 28423610 31265971 45477776 56847220 62531942 90955552 113694440 125063884 156329855 181911104 227388880 250127768 312659710 363822208 454777760 500255536 625319420 909555520 1000511072 1250638840 1819111040 2001022144 2501277680 4002044288 5002555360 10005110720 20010221440