Search a number
-
+
22024004004 = 2234100967369
BaseRepresentation
bin10100100000101110…
…111010000110100100
32002211220001022210000
4110200232322012210
5330101121112004
614041230501300
71406526642132
oct244056720644
962756038700
1022024004004
119381a81202
124327964830
1320ccb07a42
1410cd02c752
1588d7c0c39
hex520bba1a4

22024004004 has 60 divisors (see below), whose sum is σ = 57633013900. Its totient is φ = 7333949952.

The previous prime is 22024004003. The next prime is 22024004011. The reversal of 22024004004 is 40040042022.

22024004004 is a `hidden beast` number, since 2 + 20 + 240 + 0 + 400 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2083739904 + 19940264100 = 45648^2 + 141210^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22024004003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 293232 + ... + 360600.

Almost surely, 222024004004 is an apocalyptic number.

It is an amenable number.

22024004004 is an abundant number, since it is smaller than the sum of its proper divisors (35609009896).

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

22024004004 is a wasteful number, since it uses less digits than its factorization.

22024004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68394 (or 68383 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22024004004 its reverse (40040042022), we get a palindrome (62064046026).

The spelling of 22024004004 in words is "twenty-two billion, twenty-four million, four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 1009 2018 3027 4036 6054 9081 12108 18162 27243 36324 54486 67369 81729 108972 134738 163458 202107 269476 326916 404214 606321 808428 1212642 1818963 2425284 3637926 5456889 7275852 10913778 21827556 67975321 135950642 203925963 271901284 407851926 611777889 815703852 1223555778 1835333667 2447111556 3670667334 5506001001 7341334668 11012002002 22024004004