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22420934558880 = 253511131632003959
BaseRepresentation
bin1010001100100010001111…
…10101110000010010100000
32221101102100110221111122020
411012101013311300102200
510414321033221341010
6115404011331341440
74502600442160224
oct506210765602240
987342313844566
1022420934558880
117164735056150
1226213b1751880
13c68392367790
1457727134a784
1528d34757e470
hex146447d704a0

22420934558880 has 384 divisors, whose sum is σ = 83482216151040. Its totient is φ = 4986488770560.

The previous prime is 22420934558839. The next prime is 22420934558899. The reversal of 22420934558880 is 8885543902422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10186341 + ... + 12190299.

It is an arithmetic number, because the mean of its divisors is an integer number (217401604560).

Almost surely, 222420934558880 is an apocalyptic number.

22420934558880 is a gapful number since it is divisible by the number (20) 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 22420934558880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41741108075520).

22420934558880 is an abundant number, since it is smaller than the sum of its proper divisors (61061281592160).

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

22420934558880 is a wasteful number, since it uses less digits than its factorization.

22420934558880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004164 (or 2004156 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 22420934558880 in words is "twenty-two trillion, four hundred twenty billion, nine hundred thirty-four million, five hundred fifty-eight thousand, eight hundred eighty".