Search a number
-
+
22103323008 = 2731329152681
BaseRepresentation
bin10100100101011101…
…011111000110000000
32010001102022010222220
4110211131133012000
5330231422314013
614053142531040
71411512100644
oct244535370600
963042263886
1022103323008
1194128277a8
12434a436a80
13211338a170
1410d9798c24
1589573cb23
hex52575f180

22103323008 has 128 divisors (see below), whose sum is σ = 65408968800. Its totient is φ = 6566461440.

The previous prime is 22103323001. The next prime is 22103323013. The reversal of 22103323008 is 80032330122.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22103323001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68428 + ... + 221108.

Almost surely, 222103323008 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 22103323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32704484400).

22103323008 is an abundant number, since it is smaller than the sum of its proper divisors (43305645792).

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

22103323008 is a wasteful number, since it uses less digits than its factorization.

22103323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152740 (or 152728 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 22103323008 in words is "twenty-two billion, one hundred three million, three hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 128 156 174 192 208 232 312 348 377 384 416 464 624 696 754 832 928 1131 1248 1392 1508 1664 1856 2262 2496 2784 3016 3712 4524 4992 5568 6032 9048 11136 12064 18096 24128 36192 48256 72384 144768 152681 305362 458043 610724 916086 1221448 1832172 1984853 2442896 3664344 3969706 4427749 4885792 5954559 7328688 7939412 8855498 9771584 11909118 13283247 14657376 15878824 17710996 19543168 23818236 26566494 29314752 31757648 35421992 47636472 53132988 57560737 58629504 63515296 70843984 95272944 106265976 115121474 127030592 141687968 172682211 190545888 212531952 230242948 254061184 283375936 345364422 381091776 425063904 460485896 566751872 690728844 762183552 850127808 920971792 1381457688 1700255616 1841943584 2762915376 3683887168 5525830752 7367774336 11051661504 22103323008