Search a number
-
+
22934521008 = 2433729261523
BaseRepresentation
bin10101010111000000…
…010000010010110000
32012012100100101022000
4111113000100102300
5333432214133013
614311434214000
71441224132510
oct252700202260
965170311260
1022934521008
1197a9a370a3
124540884300
1322166443b9
141177d25840
158e36c8973
hex5570104b0

22934521008 has 160 divisors (see below), whose sum is σ = 77829542400. Its totient is φ = 6326740224.

The previous prime is 22934520991. The next prime is 22934521039. The reversal of 22934521008 is 80012543922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43066 + ... + 218457.

It is an arithmetic number, because the mean of its divisors is an integer number (486434640).

Almost surely, 222934521008 is an apocalyptic number.

22934521008 is a gapful number since it is divisible by the number (28) 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 22934521008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38914771200).

22934521008 is an abundant number, since it is smaller than the sum of its proper divisors (54895021392).

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

22934521008 is a wasteful number, since it uses less digits than its factorization.

22934521008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261576 (or 261564 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 22934521008 in words is "twenty-two billion, nine hundred thirty-four million, five hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 29 36 42 48 54 56 58 63 72 84 87 108 112 116 126 144 168 174 189 203 216 232 252 261 336 348 378 406 432 464 504 522 609 696 756 783 812 1008 1044 1218 1392 1512 1566 1624 1827 2088 2436 3024 3132 3248 3654 4176 4872 5481 6264 7308 9744 10962 12528 14616 21924 29232 43848 87696 261523 523046 784569 1046092 1569138 1830661 2092184 2353707 3138276 3661322 4184368 4707414 5491983 6276552 7061121 7322644 7584167 9414828 10983966 12553104 14122242 14645288 15168334 16475949 18829656 21967932 22752501 28244484 29290576 30336668 32951898 37659312 43935864 45505002 49427847 53089169 56488968 60673336 65903796 68257503 87871728 91010004 98855694 106178338 112977936 121346672 131807592 136515006 159267507 182020008 197711388 204772509 212356676 263615184 273030012 318535014 364040016 395422776 409545018 424713352 477802521 546060024 637070028 790845552 819090036 849426704 955605042 1092120048 1274140056 1433407563 1638180072 1911210084 2548280112 2866815126 3276360144 3822420168 5733630252 7644840336 11467260504 22934521008