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22202021120 = 28543939511
BaseRepresentation
bin10100101011010101…
…111111010100000000
32010022022000112100112
4110223111333110000
5330432204133440
614111030210452
71414121031356
oct245325772400
963268015315
1022202021120
11946350a094
1243774b3a28
13212a966206
14110892b7d6
1589e236965
hex52b57f500

22202021120 has 72 divisors (see below), whose sum is σ = 53303268480. Its totient is φ = 8860354560.

The previous prime is 22202021117. The next prime is 22202021167. The reversal of 22202021120 is 2112020222.

It is a junction number, because it is equal to n+sod(n) for n = 22202021095 and 22202021104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542165 + ... + 581675.

Almost surely, 222202021120 is an apocalyptic number.

22202021120 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 22202021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26651634240).

22202021120 is an abundant number, since it is smaller than the sum of its proper divisors (31101247360).

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

22202021120 is an equidigital number, since it uses as much as digits as its factorization.

22202021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39971 (or 39957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22202021120 its reverse (2112020222), we get a palindrome (24314041342).

The spelling of 22202021120 in words is "twenty-two billion, two hundred two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 439 640 878 1280 1756 2195 3512 4390 7024 8780 14048 17560 28096 35120 39511 56192 70240 79022 112384 140480 158044 197555 280960 316088 395110 561920 632176 790220 1264352 1580440 2528704 3160880 5057408 6321760 10114816 12643520 17345329 25287040 34690658 50574080 69381316 86726645 138762632 173453290 277525264 346906580 555050528 693813160 1110101056 1387626320 2220202112 2775252640 4440404224 5550505280 11101010560 22202021120