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3332202020 = 225741751773
BaseRepresentation
bin1100011010011101…
…0101111000100100
322121020010101211122
43012213111320210
523311020431040
61310352353112
7145401151460
oct30647257044
98536111748
103332202020
11145aa39774
1278bb45798
13411478694
1423879d4a0
151478141b5
hexc69d5e24

3332202020 has 96 divisors (see below), whose sum is σ = 8213861376. Its totient is φ = 1111680000.

The previous prime is 3332202017. The next prime is 3332202023. The reversal of 3332202020 is 202022333.

3332202020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3332202017) and next prime (3332202023).

It is a super-2 number, since 2×33322020202 = 22207140604184160800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332202020.

It is not an unprimeable number, because it can be changed into a prime (3332202023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310354 + ... + 4311126.

It is an arithmetic number, because the mean of its divisors is an integer number (85561056).

Almost surely, 23332202020 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 3332202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4106930688).

3332202020 is an abundant number, since it is smaller than the sum of its proper divisors (4881659356).

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

3332202020 is a wasteful number, since it uses less digits than its factorization.

3332202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 17.

The square root of 3332202020 is about 57725.2286266586. The cubic root of 3332202020 is about 1493.6325672987.

Adding to 3332202020 its reverse (202022333), we get a palindrome (3534224353).

It can be divided in two parts, 333 and 2202020, that multiplied together give a triangular number (733272660 = T38295).

The spelling of 3332202020 in words is "three billion, three hundred thirty-two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 751 773 820 1148 1435 1502 1546 2870 3004 3092 3755 3865 5257 5411 5740 7510 7730 10514 10822 15020 15460 21028 21644 26285 27055 30791 31693 52570 54110 61582 63386 105140 108220 123164 126772 153955 158465 215537 221851 307910 316930 431074 443702 580523 615820 633860 862148 887404 1077685 1109255 1161046 2155370 2218510 2322092 2902615 4063661 4310740 4437020 5805230 8127322 11610460 16254644 20318305 23801443 40636610 47602886 81273220 95205772 119007215 166610101 238014430 333220202 476028860 666440404 833050505 1666101010 3332202020