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22225820032 = 271327191429
BaseRepresentation
bin10100101100110000…
…110001100110000000
32010100221210122022201
4110230300301212000
5331004302220112
614113240242544
71414530232063
oct245460614600
963327718281
1022225820032
119475994609
124383470454
132132879800
14110bb648da
158a1388257
hex52cc31980

22225820032 has 96 divisors (see below), whose sum is σ = 48046284000. Its totient is φ = 10236635136.

The previous prime is 22225820003. The next prime is 22225820101. The reversal of 22225820032 is 23002852222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15552694 + ... + 15554122.

It is an arithmetic number, because the mean of its divisors is an integer number (500482125).

Almost surely, 222225820032 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 22225820032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023142000).

22225820032 is an abundant number, since it is smaller than the sum of its proper divisors (25820463968).

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

22225820032 is a wasteful number, since it uses less digits than its factorization.

22225820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 22225820032 in words is "twenty-two billion, two hundred twenty-five million, eight hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 719 832 1352 1429 1438 1664 2704 2858 2876 5408 5716 5752 9347 10816 11432 11504 18577 18694 21632 22864 23008 37154 37388 45728 46016 74308 74776 91456 92032 121511 148616 149552 182912 241501 243022 297232 299104 483002 486044 594464 598208 966004 972088 1027451 1188928 1196416 1932008 1944176 2054902 2377856 3864016 3888352 4109804 7728032 7776704 8219608 13356863 15456064 15553408 16439216 26713726 30912128 32878432 53427452 65756864 106854904 131513728 173639219 213709808 347278438 427419616 694556876 854839232 1389113752 1709678464 2778227504 5556455008 11112910016 22225820032