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10222774423680 = 27357133714910613
BaseRepresentation
bin1001010011000010110011…
…0101101001000010000000
31100012021202201121112101010
42110300230311221002000
52314442220223024210
633424135554040520
72103366610611060
oct224605465510200
940167681545333
1010222774423680
1132914aa722875
1211912aa579140
13592007895c30
14274adbb7d3a0
1512adb79b9920
hex94c2cd69080

10222774423680 has 1024 divisors, whose sum is σ = 41468982912000. Its totient is φ = 2084317691904.

The previous prime is 10222774423651. The next prime is 10222774423681. The reversal of 10222774423680 is 8632447722201.

It is a super-2 number, since 2×102227744236802 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10222774423681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 963226054 + ... + 963236666.

It is an arithmetic number, because the mean of its divisors is an integer number (40497053625).

Almost surely, 210222774423680 is an apocalyptic number.

10222774423680 is a gapful number since it is divisible by the number (10) 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 10222774423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734491456000).

10222774423680 is an abundant number, since it is smaller than the sum of its proper divisors (31246208488320).

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

10222774423680 is a wasteful number, since it uses less digits than its factorization.

10222774423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 10222774423680 in words is "ten trillion, two hundred twenty-two billion, seven hundred seventy-four million, four hundred twenty-three thousand, six hundred eighty".