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22231751136 = 2537173191231
BaseRepresentation
bin10100101101000111…
…011001100111100000
32010101100221222021020
4110231013121213200
5331012312014021
614114011325440
71414631523660
oct245507314740
963340858236
1022231751136
119479275751
124385450880
132133b7533a
14110c86a1a0
158a1b5a7c6
hex52d1d99e0

22231751136 has 96 divisors (see below), whose sum is σ = 67081125888. Its totient is φ = 6315179520.

The previous prime is 22231751117. The next prime is 22231751149. The reversal of 22231751136 is 63115713222.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 22231751097 and 22231751106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20641 + ... + 211871.

It is an arithmetic number, because the mean of its divisors is an integer number (698761728).

Almost surely, 222231751136 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 22231751136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33540562944).

22231751136 is an abundant number, since it is smaller than the sum of its proper divisors (44849374752).

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

22231751136 is a wasteful number, since it uses less digits than its factorization.

22231751136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191424 (or 191416 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The spelling of 22231751136 in words is "twenty-two billion, two hundred thirty-one million, seven hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 173 224 336 346 519 672 692 1038 1211 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 14532 16608 19376 29064 38752 58128 116256 191231 382462 573693 764924 1147386 1338617 1529848 2294772 2677234 3059696 4015851 4589544 5354468 6119392 8031702 9179088 10708936 16063404 18358176 21417872 32126808 33082963 42835744 64253616 66165926 99248889 128507232 132331852 198497778 231580741 264663704 396995556 463161482 529327408 694742223 793991112 926322964 1058654816 1389484446 1587982224 1852645928 2778968892 3175964448 3705291856 5557937784 7410583712 11115875568 22231751136