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2023122996 = 2232435324659
BaseRepresentation
bin111100010010110…
…0110100000110100
312012222212022000100
41320211212200310
513120404413441
6532430314100
7101064155526
oct17045464064
95188768010
102023122996
11949000284
12485658930
132631b20cb
14152997a16
15bc92dcb6
hex78966834

2023122996 has 72 divisors (see below), whose sum is σ = 5331886560. Its totient is φ = 646236864.

The previous prime is 2023122989. The next prime is 2023123007. The reversal of 2023122996 is 6992213202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2023122996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69715 + ... + 94373.

It is an arithmetic number, because the mean of its divisors is an integer number (74053980).

Almost surely, 22023122996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023122996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665943280).

2023122996 is an abundant number, since it is smaller than the sum of its proper divisors (3308763564).

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

2023122996 is a wasteful number, since it uses less digits than its factorization.

2023122996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24765 (or 24760 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2023122996 is about 44979.1395649139. The cubic root of 2023122996 is about 1264.7579816859.

The spelling of 2023122996 in words is "two billion, twenty-three million, one hundred twenty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 53 86 106 129 159 172 212 258 318 387 477 516 636 774 954 1548 1908 2279 4558 6837 9116 13674 20511 24659 27348 41022 49318 73977 82044 98636 147954 221931 295908 443862 887724 1060337 1306927 2120674 2613854 3181011 3920781 4241348 5227708 6362022 7841562 9543033 11762343 12724044 15683124 19086066 23524686 38172132 47049372 56197861 112395722 168593583 224791444 337187166 505780749 674374332 1011561498 2023122996