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21222233004 = 2237264356131
BaseRepresentation
bin10011110000111100…
…011001001110101100
32000210000101010201210
4103300330121032230
5321430342424004
613425510034420
71350623001300
oct236074311654
960700333653
1021222233004
119000440845
124143348a10
132002984a2b
141054761d00
158431e9089
hex4f0f193ac

21222233004 has 72 divisors (see below), whose sum is σ = 57693816768. Its totient is φ = 6053957280.

The previous prime is 21222233003. The next prime is 21222233113. The reversal of 21222233004 is 40033222212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (21222233003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350019 + ... + 406149.

Almost surely, 221222233004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222233004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28846908384).

21222233004 is an abundant number, since it is smaller than the sum of its proper divisors (36471583764).

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

21222233004 is a wasteful number, since it uses less digits than its factorization.

21222233004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56795 (or 56786 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 21222233004 its reverse (40033222212), we get a palindrome (61255455216).

The spelling of 21222233004 in words is "twenty-one billion, two hundred twenty-two million, two hundred thirty-three thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 643 1286 1929 2572 3858 4501 7716 9002 13503 18004 27006 31507 54012 56131 63014 94521 112262 126028 168393 189042 224524 336786 378084 392917 673572 785834 1178751 1571668 2357502 2750419 4715004 5500838 8251257 11001676 16502514 33005028 36092233 72184466 108276699 144368932 216553398 252645631 433106796 505291262 757936893 1010582524 1515873786 1768519417 3031747572 3537038834 5305558251 7074077668 10611116502 21222233004