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20212022400 = 273522105419
BaseRepresentation
bin10010110100101110…
…101111110010000000
31221011121111010022020
4102310232233302000
5312343234204100
613141341441440
71313605233003
oct226456576200
957147433266
1020212022400
118632183649
123b00b70280
131ba15b118b
14d9a51753a
157d469c5a0
hex4b4bafc80

20212022400 has 96 divisors (see below), whose sum is σ = 66573380400. Its totient is φ = 5389870080.

The previous prime is 20212022377. The next prime is 20212022417. The reversal of 20212022400 is 422021202.

It is a tau number, because it is divible by the number of its divisors (96).

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 20212022400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043110 + ... + 1062309.

Almost surely, 220212022400 is an apocalyptic number.

20212022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212022400 is an abundant number, since it is smaller than the sum of its proper divisors (46361358000).

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

20212022400 is a wasteful number, since it uses less digits than its factorization.

20212022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105446 (or 2105429 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20212022400 its reverse (422021202), we get a palindrome (20634043602).

The spelling of 20212022400 in words is "twenty billion, two hundred twelve million, twenty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 2105419 4210838 6316257 8421676 10527095 12632514 16843352 21054190 25265028 31581285 33686704 42108380 50530056 52635475 63162570 67373408 84216760 101060112 105270950 126325140 134746816 157906425 168433520 202120224 210541900 252650280 269493632 315812850 336867040 404240448 421083800 505300560 631625700 673734080 808480896 842167600 1010601120 1263251400 1347468160 1684335200 2021202240 2526502800 3368670400 4042404480 5053005600 6737340800 10106011200 20212022400