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22266038496 = 2531371251287
BaseRepresentation
bin10100101111001010…
…001100100011100000
32010110202110221200110
4110233022030203200
5331100101212441
614121234251320
71415526130062
oct245712144340
963422427613
1022266038496
119496664309
124394a26b40
13213acbb910
141113233732
158a4b7eb16
hex52f28c8e0

22266038496 has 96 divisors (see below), whose sum is σ = 63831172608. Its totient is φ = 6754567680.

The previous prime is 22266038489. The next prime is 22266038519. The reversal of 22266038496 is 69483066222.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37036 + ... + 214251.

It is an arithmetic number, because the mean of its divisors is an integer number (664908048).

Almost surely, 222266038496 is an apocalyptic number.

22266038496 is a gapful number since it is divisible by the number (26) 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 22266038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31915586304).

22266038496 is an abundant number, since it is smaller than the sum of its proper divisors (41565134112).

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

22266038496 is a wasteful number, since it uses less digits than its factorization.

22266038496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251384 (or 251376 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 22266038496 in words is "twenty-two billion, two hundred sixty-six million, thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 71 78 96 104 142 156 208 213 284 312 416 426 568 624 852 923 1136 1248 1704 1846 2272 2769 3408 3692 5538 6816 7384 11076 14768 22152 29536 44304 88608 251287 502574 753861 1005148 1507722 2010296 3015444 3266731 4020592 6030888 6533462 8041184 9800193 12061776 13066924 17841377 19600386 24123552 26133848 35682754 39200772 52267696 53524131 71365508 78401544 104535392 107048262 142731016 156803088 214096524 231937901 285462032 313606176 428193048 463875802 570924064 695813703 856386096 927751604 1391627406 1712772192 1855503208 2783254812 3711006416 5566509624 7422012832 11133019248 22266038496