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21321322224 = 2433728034283
BaseRepresentation
bin10011110110110110…
…011000111011110000
32001000220211101120220
4103312312120323300
5322131224302344
613443405533040
71353235151166
oct236666307360
961026741526
1021321322224
11905136aa64
124170574180
13201a369ac7
141063997236
1584bc6dc19
hex4f6d98ef0

21321322224 has 80 divisors (see below), whose sum is σ = 56602127232. Its totient is φ = 6910942464.

The previous prime is 21321322219. The next prime is 21321322241. The reversal of 21321322224 is 42222312312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21321322194 and 21321322203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975987 + ... + 4980269.

Almost surely, 221321322224 is an apocalyptic number.

21321322224 is a gapful number since it is divisible by the number (24) 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 21321322224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28301063616).

21321322224 is an abundant number, since it is smaller than the sum of its proper divisors (35280805008).

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

21321322224 is a wasteful number, since it uses less digits than its factorization.

21321322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7128 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

Adding to 21321322224 its reverse (42222312312), we get a palindrome (63543634536).

The spelling of 21321322224 in words is "twenty-one billion, three hundred twenty-one million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2803 4283 5606 8409 8566 11212 12849 16818 17132 22424 25698 33636 34264 44848 51396 67272 68528 102792 103711 134544 158471 205584 207422 311133 316942 414844 475413 622266 633884 829688 950826 1244532 1267768 1659376 1901652 2489064 2535536 3803304 4978128 7606608 12005249 24010498 36015747 48020996 72031494 96041992 144062988 192083984 288125976 444194213 576251952 888388426 1332582639 1776776852 2665165278 3553553704 5330330556 7107107408 10660661112 21321322224