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20012230320 = 24351913931573
BaseRepresentation
bin10010101000110100…
…100110011010110000
31220122200112122002120
4102220310212122300
5311441112332240
613105443314240
71305631102545
oct225064463260
956580478076
1020012230320
11853a422925
123a6607b980
131b6c09a704
14d7bb8abcc
157c1d84ad0
hex4a8d266b0

20012230320 has 160 divisors (see below), whose sum is σ = 65774956800. Its totient is φ = 5019190272.

The previous prime is 20012230313. The next prime is 20012230321. The reversal of 20012230320 is 2303221002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20012230320.

It is not an unprimeable number, because it can be changed into a prime (20012230321) 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, 618054 + ... + 649626.

It is an arithmetic number, because the mean of its divisors is an integer number (411093480).

Almost surely, 220012230320 is an apocalyptic number.

20012230320 is a gapful number since it is divisible by the number (20) 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 20012230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32887478400).

20012230320 is an abundant number, since it is smaller than the sum of its proper divisors (45762726480).

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

20012230320 is a wasteful number, since it uses less digits than its factorization.

20012230320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31747 (or 31741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20012230320 its reverse (2303221002), we get a palindrome (22315451322).

The spelling of 20012230320 in words is "twenty billion, twelve million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 139 152 190 228 240 278 285 304 380 417 456 556 570 695 760 834 912 1112 1140 1390 1520 1668 2085 2224 2280 2641 2780 3336 4170 4560 5282 5560 6672 7923 8340 10564 11120 13205 15846 16680 21128 26410 31573 31692 33360 39615 42256 52820 63146 63384 79230 94719 105640 126292 126768 157865 158460 189438 211280 252584 315730 316920 378876 473595 505168 599887 631460 633840 757752 947190 1199774 1262920 1515504 1799661 1894380 2399548 2525840 2999435 3599322 3788760 4388647 4799096 5998870 7198644 7577520 8777294 8998305 9598192 11997740 13165941 14397288 17554588 17996610 21943235 23995480 26331882 28794576 35109176 35993220 43886470 47990960 52663764 65829705 70218352 71986440 83384293 87772940 105327528 131659410 143972880 166768586 175545880 210655056 250152879 263318820 333537172 351091760 416921465 500305758 526637640 667074344 833842930 1000611516 1053275280 1250764395 1334148688 1667685860 2001223032 2501528790 3335371720 4002446064 5003057580 6670743440 10006115160 20012230320