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10200233220 = 22351929308537
BaseRepresentation
bin10010111111111101…
…10011010100000100
3222022212112112110120
421133332303110010
5131342224430340
64404054221540
7510525360162
oct113776632404
928285475416
1010200233220
114364847211
121b880548b0
13c67326978
146ca9a6232
153ea7614d0
hex25ffb3504

10200233220 has 96 divisors (see below), whose sum is σ = 31100630400. Its totient is φ = 2488034304.

The previous prime is 10200233167. The next prime is 10200233221. The reversal of 10200233220 is 2233200201.

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 10200233220.

It is not an unprimeable number, because it can be changed into a prime (10200233221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121209 + ... + 187328.

It is an arithmetic number, because the mean of its divisors is an integer number (323964900).

Almost surely, 210200233220 is an apocalyptic number.

10200233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200233220 is an abundant number, since it is smaller than the sum of its proper divisors (20900397180).

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

10200233220 is a wasteful number, since it uses less digits than its factorization.

10200233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308597 (or 308595 counting only the distinct ones).

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

Adding to 10200233220 its reverse (2233200201), we get a palindrome (12433433421).

The spelling of 10200233220 in words is "ten billion, two hundred million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3306 5510 6612 8265 11020 16530 33060 308537 617074 925611 1234148 1542685 1851222 3085370 3702444 4628055 5862203 6170740 8947573 9256110 11724406 17586609 17895146 18512220 23448812 26842719 29311015 35173218 35790292 44737865 53685438 58622030 70346436 87933045 89475730 107370876 117244060 134213595 170003887 175866090 178951460 268427190 340007774 351732180 510011661 536854380 680015548 850019435 1020023322 1700038870 2040046644 2550058305 3400077740 5100116610 10200233220