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22101343440 = 24351153191827
BaseRepresentation
bin10100100101010101…
…111011110011010000
32010001021120120112120
4110211111323303100
5330230420442230
614053032254240
71411456214421
oct244525736320
963037516476
1022101343440
1194116a54a0
124349841380
132112b46117
1410d9401648
1589549b310
hex52557bcd0

22101343440 has 320 divisors, whose sum is σ = 76644237312. Its totient is φ = 5222963200.

The previous prime is 22101343409. The next prime is 22101343441. The reversal of 22101343440 is 4434310122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22101343440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101343441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26724307 + ... + 26725133.

Almost surely, 222101343440 is an apocalyptic number.

22101343440 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 22101343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38322118656).

22101343440 is an abundant number, since it is smaller than the sum of its proper divisors (54542893872).

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

22101343440 is a wasteful number, since it uses less digits than its factorization.

22101343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22101343440 its reverse (4434310122), we get a palindrome (26535653562).

The spelling of 22101343440 in words is "twenty-two billion, one hundred one million, three hundred forty-three thousand, four hundred forty".