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21022433334 = 234722138377
BaseRepresentation
bin10011100101000010…
…001110000000110110
32000021002102021010000
4103211002032000312
5321023220331314
613354011412130
71342645510050
oct234502160066
960232367100
1021022433334
118a08685351
1240a8454046
131ca046a986
141035dd28d0
158308ce209
hex4e508e036

21022433334 has 80 divisors (see below), whose sum is σ = 53865982368. Its totient is φ = 6002978688.

The previous prime is 21022433281. The next prime is 21022433353. The reversal of 21022433334 is 43333422012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21022433298 and 21022433307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2505354 + ... + 2513730.

Almost surely, 221022433334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21022433334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26932991184).

21022433334 is an abundant number, since it is smaller than the sum of its proper divisors (32843549034).

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

21022433334 is a wasteful number, since it uses less digits than its factorization.

21022433334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10611 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 21022433334 its reverse (43333422012), we get a palindrome (64355855346).

The spelling of 21022433334 in words is "twenty-one billion, twenty-two million, four hundred thirty-three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 2213 4426 6639 8377 13278 15491 16754 19917 25131 30982 39834 46473 50262 58639 59751 75393 92946 117278 119502 139419 150786 175917 179253 226179 278838 351834 358506 418257 452358 527751 678537 836514 1055502 1254771 1357074 1583253 2509542 3166506 4749759 9499518 18538301 37076602 55614903 111229806 129768107 166844709 259536214 333689418 389304321 500534127 778608642 1001068254 1167912963 1501602381 2335825926 3003204762 3503738889 7007477778 10511216667 21022433334