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332212020 = 223572233547
BaseRepresentation
bin10011110011010…
…010011100110100
3212011010010012220
4103303102130310
51140021241040
652544242340
711142520110
oct2363223464
9764103186
10332212020
11160585898
12933103b0
1353a9887a
143219a740
151e2732d0
hex13cd2734

332212020 has 96 divisors (see below), whose sum is σ = 1068146688. Its totient is φ = 75572352.

The previous prime is 332212019. The next prime is 332212021. The reversal of 332212020 is 20212233.

It is an interprime number because it is at equal distance from previous prime (332212019) and next prime (332212021).

It is a super-2 number, since 2×3322120202 = 220729652464960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332212021) 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, 91887 + ... + 95433.

It is an arithmetic number, because the mean of its divisors is an integer number (11126528).

Almost surely, 2332212020 is an apocalyptic number.

332212020 is a gapful number since it is divisible by the number (30) 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 332212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534073344).

332212020 is an abundant number, since it is smaller than the sum of its proper divisors (735934668).

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

332212020 is a wasteful number, since it uses less digits than its factorization.

332212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 332212020 is about 18226.6842843124. The cubic root of 332212020 is about 692.5829256826.

Adding to 332212020 its reverse (20212233), we get a palindrome (352424253).

The spelling of 332212020 in words is "three hundred thirty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 223 420 446 669 892 1115 1338 1561 2230 2676 3122 3345 3547 4460 4683 6244 6690 7094 7805 9366 10641 13380 14188 15610 17735 18732 21282 23415 24829 31220 35470 42564 46830 49658 53205 70940 74487 93660 99316 106410 124145 148974 212820 248290 297948 372435 496580 744870 790981 1489740 1581962 2372943 3163924 3954905 4745886 5536867 7909810 9491772 11073734 11864715 15819620 16610601 22147468 23729430 27684335 33221202 47458860 55368670 66442404 83053005 110737340 166106010 332212020