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21232342400 = 27526739859
BaseRepresentation
bin10011110001100010…
…111101010110000000
32000210201101202012212
4103301202331112000
5321440434424100
613430510441252
71351104634613
oct236142752600
960721352185
1021232342400
119006116115
124146803228
132004ab4319
141055c3417a
15844044635
hex4f18bd580

21232342400 has 96 divisors (see below), whose sum is σ = 52533784200. Its totient is φ = 8479457280.

The previous prime is 21232342381. The next prime is 21232342403. The reversal of 21232342400 is 424323212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21232342403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2148671 + ... + 2158529.

Almost surely, 221232342400 is an apocalyptic number.

21232342400 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 21232342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266892100).

21232342400 is an abundant number, since it is smaller than the sum of its proper divisors (31301441800).

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

21232342400 is an equidigital number, since it uses as much as digits as its factorization.

21232342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10556 (or 10539 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 21232342400 its reverse (424323212), we get a palindrome (21656665612).

The spelling of 21232342400 in words is "twenty-one billion, two hundred thirty-two million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 673 800 1346 1600 2692 3200 3365 5384 6730 9859 10768 13460 16825 19718 21536 26920 33650 39436 43072 49295 53840 67300 78872 86144 98590 107680 134600 157744 197180 215360 246475 269200 315488 394360 430720 492950 538400 630976 788720 985900 1076800 1261952 1577440 1971800 2153600 3154880 3943600 6309760 6635107 7887200 13270214 15774400 26540428 31548800 33175535 53080856 66351070 106161712 132702140 165877675 212323424 265404280 331755350 424646848 530808560 663510700 849293696 1061617120 1327021400 2123234240 2654042800 4246468480 5308085600 10616171200 21232342400