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20314472332 = 22721140123497
BaseRepresentation
bin10010111010110101…
…100011111110001100
31221102202021010012011
4102322311203332030
5313101001103312
613155441351004
71316261110600
oct227265437614
957382233164
1020314472332
118684a98810
123b2b338464
131bb98a1b3b
14da9d85500
157dd687da7
hex4bad63f8c

20314472332 has 72 divisors (see below), whose sum is σ = 45228386448. Its totient is φ = 7894656000.

The previous prime is 20314472323. The next prime is 20314472351. The reversal of 20314472332 is 23327441302.

It is a super-2 number, since 2×203144723322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20314472294 and 20314472303.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852808 + ... + 876304.

It is an arithmetic number, because the mean of its divisors is an integer number (628172034).

Almost surely, 220314472332 is an apocalyptic number.

20314472332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20314472332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22614193224).

20314472332 is an abundant number, since it is smaller than the sum of its proper divisors (24913914116).

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

20314472332 is a wasteful number, since it uses less digits than its factorization.

20314472332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23927 (or 23918 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The spelling of 20314472332 in words is "twenty billion, three hundred fourteen million, four hundred seventy-two thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 401 539 802 1078 1604 2156 2807 4411 5614 8822 11228 17644 19649 23497 30877 39298 46994 61754 78596 93988 123508 164479 216139 258467 328958 432278 516934 657916 864556 1033868 1151353 1809269 2302706 3618538 4605412 7237076 9422297 12664883 18844594 25329766 37689188 50659532 65956079 103645267 131912158 207290534 263824316 414581068 461692553 725516869 923385106 1451033738 1846770212 2902067476 5078618083 10157236166 20314472332