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22400400141 = 327597438111
BaseRepresentation
bin10100110111001010…
…101111101100001101
32010211010022020012200
4110313022233230031
5331334000301031
614142434152113
71422050155020
oct246712575415
963733266180
1022400400141
119555495199
124411a22639
13215caa3752
14112700b1b7
158b18708e6
hex5372afb0d

22400400141 has 48 divisors (see below), whose sum is σ = 37660446720. Its totient is φ = 12564790560.

The previous prime is 22400400133. The next prime is 22400400161. The reversal of 22400400141 is 14100400422.

22400400141 is a `hidden beast` number, since 224 + 0 + 0 + 400 + 1 + 41 = 666.

It is not a de Polignac number, because 22400400141 - 23 = 22400400133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400400161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2757676 + ... + 2765786.

It is an arithmetic number, because the mean of its divisors is an integer number (784592640).

Almost surely, 222400400141 is an apocalyptic number.

22400400141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22400400141 is a deficient number, since it is larger than the sum of its proper divisors (15260046579).

22400400141 is a wasteful number, since it uses less digits than its factorization.

22400400141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8926 (or 8923 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22400400141 its reverse (14100400422), we get a palindrome (36500800563).

The spelling of 22400400141 in words is "twenty-two billion, four hundred million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 59 63 177 413 531 743 1239 2229 3717 5201 6687 8111 15603 24333 43837 46809 56777 72999 131511 170331 306859 394533 478549 510993 920577 1435647 2761731 3349843 4306941 6026473 10049529 18079419 30148587 42185311 54238257 126555933 355561907 379667799 1066685721 2488933349 3200057163 7466800047 22400400141