Search a number
-
+
22051233152 = 271349926557
BaseRepresentation
bin10100100010010110…
…110001110110000000
32002220210021201010222
4110202112301312000
5330130103430102
614044042242212
71410310250324
oct244226616600
962823251128
1022051233152
119396389933
124334ab6368
13210564c770
1410d28b9984
15890d9daa2
hex5225b1d80

22051233152 has 64 divisors (see below), whose sum is σ = 47406030000. Its totient is φ = 10156713984.

The previous prime is 22051233133. The next prime is 22051233167. The reversal of 22051233152 is 25133215022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 817058 + ... + 843614.

Almost surely, 222051233152 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 22051233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23703015000).

22051233152 is an abundant number, since it is smaller than the sum of its proper divisors (25354796848).

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

22051233152 is a wasteful number, since it uses less digits than its factorization.

22051233152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27083 (or 27071 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 22051233152 its reverse (25133215022), we get a palindrome (47184448174).

The spelling of 22051233152 in words is "twenty-two billion, fifty-one million, two hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 499 832 998 1664 1996 3992 6487 7984 12974 15968 25948 26557 31936 51896 53114 63872 103792 106228 207584 212456 345241 415168 424912 690482 830336 849824 1380964 1699648 2761928 3399296 5523856 11047712 13251943 22095424 26503886 44190848 53007772 106015544 172275259 212031088 344550518 424062176 689101036 848124352 1378202072 1696248704 2756404144 5512808288 11025616576 22051233152