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31379922 = 23273753127
BaseRepresentation
bin111011110110…
…1000111010010
32012001021011100
41313231013102
531013124142
63040325230
7530503440
oct167550722
965037140
1031379922
1116793222
12a613816
136669102
14424bb90
152b4cb4c
hex1ded1d2

31379922 has 96 divisors (see below), whose sum is σ = 81948672. Its totient is φ = 8491392.

The previous prime is 31379899. The next prime is 31379923. The reversal of 31379922 is 22997313.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31379923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247023 + ... + 247149.

It is an arithmetic number, because the mean of its divisors is an integer number (853632).

Almost surely, 231379922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31379922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40974336).

31379922 is an abundant number, since it is smaller than the sum of its proper divisors (50568750).

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

31379922 is a wasteful number, since it uses less digits than its factorization.

31379922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 229 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 31379922 is about 5601.7784675940. The cubic root of 31379922 is about 315.4161695027.

The spelling of 31379922 in words is "thirty-one million, three hundred seventy-nine thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 53 63 74 106 111 126 127 159 222 254 259 318 333 371 381 477 518 666 742 762 777 889 954 1113 1143 1554 1778 1961 2226 2286 2331 2667 3339 3922 4662 4699 5334 5883 6678 6731 8001 9398 11766 13462 13727 14097 16002 17649 20193 27454 28194 32893 35298 40386 41181 42291 47117 60579 65786 82362 84582 94234 98679 121158 123543 141351 197358 247086 249047 282702 296037 424053 498094 592074 747141 848106 1494282 1743329 2241423 3486658 4482846 5229987 10459974 15689961 31379922