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22100542440 = 2335306160167
BaseRepresentation
bin10100100101010010…
…111000001111101000
32010001020001212202220
4110211102320033220
5330230214324230
614053003154040
71411446340224
oct244522701750
963036055686
1022100542440
1194111a8709
124349515920
132112925662
1410d9273784
1589538dd10
hex5254b83e8

22100542440 has 64 divisors (see below), whose sum is σ = 66324389760. Its totient is φ = 5891454720.

The previous prime is 22100542423. The next prime is 22100542441. The reversal of 22100542440 is 4424500122.

It is a happy number.

It is a super-2 number, since 2×221005424402 (a number of 21 digits) contains 22 as substring.

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 22100542440.

It is not an unprimeable number, because it can be changed into a prime (22100542441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337237 + ... + 397403.

It is an arithmetic number, because the mean of its divisors is an integer number (1036318590).

Almost surely, 222100542440 is an apocalyptic number.

22100542440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100542440 is an abundant number, since it is smaller than the sum of its proper divisors (44223847320).

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

22100542440 is a wasteful number, since it uses less digits than its factorization.

22100542440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63242 (or 63238 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The spelling of 22100542440 in words is "twenty-two billion, one hundred million, five hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3061 6122 9183 12244 15305 18366 24488 30610 36732 45915 60167 61220 73464 91830 120334 122440 180501 183660 240668 300835 361002 367320 481336 601670 722004 902505 1203340 1444008 1805010 2406680 3610020 7220040 184171187 368342374 552513561 736684748 920855935 1105027122 1473369496 1841711870 2210054244 2762567805 3683423740 4420108488 5525135610 7366847480 11050271220 22100542440