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2022253398 = 2331121731789
BaseRepresentation
bin111100010001001…
…0010001101010110
312012221020010011000
41320202102031112
513120144102043
6532355524130
7101053604334
oct17042221526
95187203130
102022253398
11948566a00
124852b9646
13262c69359
1415280cb54
15bc80b2d3
hex78892356

2022253398 has 96 divisors (see below), whose sum is σ = 4970901600. Its totient is φ = 608921280.

The previous prime is 2022253397. The next prime is 2022253399. The reversal of 2022253398 is 8933522202.

It is an interprime number because it is at equal distance from previous prime (2022253397) and next prime (2022253399).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022253397) 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, 1129488 + ... + 1131276.

It is an arithmetic number, because the mean of its divisors is an integer number (51780225).

Almost surely, 22022253398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022253398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485450800).

2022253398 is an abundant number, since it is smaller than the sum of its proper divisors (2948648202).

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

2022253398 is a wasteful number, since it uses less digits than its factorization.

2022253398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2022253398 is about 44969.4718447971. The cubic root of 2022253398 is about 1264.5767456083.

The spelling of 2022253398 in words is "two billion, twenty-two million, two hundred fifty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 173 198 242 297 346 363 519 594 726 1038 1089 1557 1789 1903 2178 3114 3267 3578 3806 4671 5367 5709 6534 9342 10734 11418 16101 17127 19679 20933 32202 34254 39358 41866 48303 51381 59037 62799 96606 102762 118074 125598 177111 188397 216469 309497 354222 376794 432938 531333 565191 618994 649407 928491 1062666 1130382 1298814 1856982 1948221 2785473 3404467 3896442 5570946 5844663 6808934 8356419 10213401 11689326 16712838 20426802 30640203 37449137 61280406 74898274 91920609 112347411 183841218 224694822 337042233 674084466 1011126699 2022253398