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31222214144 = 291117326101
BaseRepresentation
bin11101000100111111…
…010010111000000000
32222120221002210222122
4131010333102320000
51002420341323034
622202052223412
72153500304252
oct350477227000
988527083878
1031222214144
1112272142670
12607430ab68
132c37666734
1417228bbcd2
15c2b0a162e
hex744fd2e00

31222214144 has 80 divisors (see below), whose sum is σ = 72058106736. Its totient is φ = 13357056000.

The previous prime is 31222214143. The next prime is 31222214147. The reversal of 31222214144 is 44141222213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31222214143) 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, 67307 + ... + 258794.

Almost surely, 231222214144 is an apocalyptic number.

31222214144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31222214144 is an abundant number, since it is smaller than the sum of its proper divisors (40835892592).

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

31222214144 is a wasteful number, since it uses less digits than its factorization.

31222214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326147 (or 326131 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

Adding to 31222214144 its reverse (44141222213), we get a palindrome (75363436357).

The spelling of 31222214144 in words is "thirty-one billion, two hundred twenty-two million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1088 1408 1496 2176 2816 2992 4352 5632 5984 8704 11968 23936 47872 95744 326101 652202 1304404 2608808 3587111 5217616 5543717 7174222 10435232 11087434 14348444 20870464 22174868 28696888 41740928 44349736 57393776 60980887 83481856 88699472 114787552 121961774 166963712 177398944 229575104 243923548 354797888 459150208 487847096 709595776 918300416 975694192 1419191552 1836600832 1951388384 2838383104 3902776768 7805553536 15611107072 31222214144