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222414440031 = 3378087145517
BaseRepresentation
bin1100111100100011101…
…1110000011001011111
3210021002110000012211000
43033020323300121133
512121001044040111
6250101545201343
722032431355450
oct3171073603137
9707073005730
10222414440031
1186364175803
1237132190253
1317c86c9a244
14aa9cd05127
155bbb169c56
hex33c8ef065f

222414440031 has 32 divisors (see below), whose sum is σ = 376623866880. Its totient is φ = 127077376608.

The previous prime is 222414439993. The next prime is 222414440099. The reversal of 222414440031 is 130044414222.

222414440031 is a `hidden beast` number, since 2 + 224 + 1 + 4 + 4 + 400 + 31 = 666.

It is not a de Polignac number, because 222414440031 - 210 = 222414439007 is a prime.

It is a super-2 number, since 2×2224144400312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 222414439977 and 222414440004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222414440531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455685 + ... + 1601201.

It is an arithmetic number, because the mean of its divisors is an integer number (11769495840).

Almost surely, 2222414440031 is an apocalyptic number.

222414440031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

222414440031 is a deficient number, since it is larger than the sum of its proper divisors (154209426849).

222414440031 is a wasteful number, since it uses less digits than its factorization.

222414440031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153620 (or 153614 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 222414440031 its reverse (130044414222), we get a palindrome (352458854253).

The spelling of 222414440031 in words is "two hundred twenty-two billion, four hundred fourteen million, four hundred forty thousand, thirty-one".

Divisors: 1 3 7 9 21 27 63 189 8087 24261 56609 72783 145517 169827 218349 436551 509481 1018619 1309653 1528443 3055857 3928959 9167571 27502713 1176795979 3530387937 8237571853 10591163811 24712715559 31773491433 74138146677 222414440031