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1002320214 = 237294717509
BaseRepresentation
bin111011101111100…
…011000101010110
32120212001010211220
4323233203011112
54023043221324
6243243111210
733560403240
oct7357430526
92525033756
101002320214
11474869015
1223b812506
1312c8702ac
1497193090
155ceddb79
hex3bbe3156

1002320214 has 64 divisors (see below), whose sum is σ = 2420582400. Its totient is φ = 270603648.

The previous prime is 1002320203. The next prime is 1002320227. The reversal of 1002320214 is 4120232001.

It is a super-2 number, since 2×10023202142 = 2009291622786011592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1002320193 and 1002320202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48492 + ... + 66000.

It is an arithmetic number, because the mean of its divisors is an integer number (37821600).

Almost surely, 21002320214 is an apocalyptic number.

1002320214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002320214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210291200).

1002320214 is an abundant number, since it is smaller than the sum of its proper divisors (1418262186).

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

1002320214 is a wasteful number, since it uses less digits than its factorization.

1002320214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17597.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1002320214 is about 31659.4411511006. The cubic root of 1002320214 is about 1000.7728072817.

Adding to 1002320214 its reverse (4120232001), we get a palindrome (5122552215).

The spelling of 1002320214 in words is "one billion, two million, three hundred twenty thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 47 58 87 94 141 174 203 282 329 406 609 658 987 1218 1363 1974 2726 4089 8178 9541 17509 19082 28623 35018 52527 57246 105054 122563 245126 367689 507761 735378 822923 1015522 1523283 1645846 2468769 3046566 3554327 4937538 5760461 7108654 10662981 11520922 17281383 21325962 23864767 34562766 47729534 71594301 143188602 167053369 334106738 501160107 1002320214