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22700243430 = 23251139472357
BaseRepresentation
bin10101001001000010…
…100011100111100110
32011121000111211212200
4111021002203213212
5332442230242210
614232304555330
71432350612504
oct251102434746
964530454780
1022700243430
119699771967
124496322b46
1321a9c48107
141154b7d674
158ccd4d0c0
hex5490a39e6

22700243430 has 96 divisors (see below), whose sum is σ = 59631103584. Its totient is φ = 5990949888.

The previous prime is 22700243417. The next prime is 22700243453. The reversal of 22700243430 is 3434200722.

22700243430 is a `hidden beast` number, since 227 + 0 + 0 + 2 + 4 + 3 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22700243394 and 22700243403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9629812 + ... + 9632168.

It is an arithmetic number, because the mean of its divisors is an integer number (621157329).

Almost surely, 222700243430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22700243430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815551792).

22700243430 is an abundant number, since it is smaller than the sum of its proper divisors (36930860154).

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

22700243430 is a wasteful number, since it uses less digits than its factorization.

22700243430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 22700243430 in words is "twenty-two billion, seven hundred million, two hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 947 1017 1130 1695 1894 2034 2357 2841 3390 4714 4735 5085 5682 7071 8523 9470 10170 11785 14142 14205 17046 21213 23570 28410 35355 42426 42615 70710 85230 106065 107011 212130 214022 266341 321033 532682 535055 642066 799023 963099 1070110 1331705 1598046 1605165 1926198 2232079 2397069 2663410 3210330 3995115 4464158 4794138 4815495 6696237 7990230 9630990 11160395 11985345 13392474 20088711 22320790 23970690 33481185 40177422 66962370 100443555 200887110 252224927 504449854 756674781 1261124635 1513349562 2270024343 2522249270 3783373905 4540048686 7566747810 11350121715 22700243430