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2140220412 = 2232112491327
BaseRepresentation
bin111111110010001…
…0010101111111100
312112011012110110200
41333210102233330
513340344023122
6552212203500
7104015400441
oct17744225774
95464173420
102140220412
119a910a300
124b8909590
13281530b15
141643599c8
15c7d5e5ac
hex7f912bfc

2140220412 has 54 divisors (see below), whose sum is σ = 5946542784. Its totient is φ = 648550320.

The previous prime is 2140220399. The next prime is 2140220413.

2140220412 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140220413) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 241308 + ... + 250019.

Almost surely, 22140220412 is an apocalyptic number.

2140220412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2140220412 is an abundant number, since it is smaller than the sum of its proper divisors (3806322372).

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

2140220412 is a wasteful number, since it uses less digits than its factorization.

2140220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491359 (or 491343 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2140220412 is about 46262.5162739771. The cubic root of 2140220412 is about 1288.7029833676.

It can be divided in two parts, 21402 and 20412, that added together give a palindrome (41814).

The spelling of 2140220412 in words is "two billion, one hundred forty million, two hundred twenty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 491327 982654 1473981 1965308 2947962 4421943 5404597 5895924 8843886 10809194 16213791 17687772 21618388 32427582 48641373 59450567 64855164 97282746 118901134 178351701 194565492 237802268 356703402 535055103 713406804 1070110206 2140220412