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2212022104224 = 25390725404517
BaseRepresentation
bin100000001100000110110…
…010101011000010100000
321211110121121211201002220
4200030012302223002200
5242220210124313344
64412104450311040
7315545653440432
oct40140662530240
97743547751086
102212022104224
117831278a0909
122b8855888480
1313079248718a
14790c34a4652
153c816adbc19
hex20306cab0a0

2212022104224 has 48 divisors (see below), whose sum is σ = 5812960190688. Its totient is φ = 736527727872.

The previous prime is 2212022104223. The next prime is 2212022104249. The reversal of 2212022104224 is 4224012202122.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2212022104194 and 2212022104203.

It is not an unprimeable number, because it can be changed into a prime (2212022104223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12615187 + ... + 12789330.

It is an arithmetic number, because the mean of its divisors is an integer number (121103337306).

Almost surely, 22212022104224 is an apocalyptic number.

2212022104224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212022104224 is an abundant number, since it is smaller than the sum of its proper divisors (3600938086464).

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

2212022104224 is a wasteful number, since it uses less digits than its factorization.

2212022104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25405437 (or 25405429 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2212022104224 its reverse (4224012202122), we get a palindrome (6436034306346).

The spelling of 2212022104224 in words is "two trillion, two hundred twelve billion, twenty-two million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 907 1814 2721 3628 5442 7256 10884 14512 21768 29024 43536 87072 25404517 50809034 76213551 101618068 152427102 203236136 304854204 406472272 609708408 812944544 1219416816 2438833632 23041896919 46083793838 69125690757 92167587676 138251381514 184335175352 276502763028 368670350704 553005526056 737340701408 1106011052112 2212022104224