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20212445000 = 235411233409
BaseRepresentation
bin10010110100110000…
…010110111101001000
31221011122021121000002
4102310300112331020
5312343341220000
613141354502132
71313611643036
oct226460267510
957148247002
1020212445000
118632442100
123b01134948
131ba16cb637
14d9a5c7556
157d47328d5
hex4b4c16f48

20212445000 has 120 divisors (see below), whose sum is σ = 52055953950. Its totient is φ = 7349760000.

The previous prime is 20212444999. The next prime is 20212445021. The reversal of 20212445000 is 54421202.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 120516484 + 20091928516 = 10978^2 + 141746^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 588296 + ... + 621704.

Almost surely, 220212445000 is an apocalyptic number.

20212445000 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 20212445000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26027976975).

20212445000 is an abundant number, since it is smaller than the sum of its proper divisors (31843508950).

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

20212445000 is a wasteful number, since it uses less digits than its factorization.

20212445000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33457 (or 33427 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20212445000 its reverse (54421202), we get a palindrome (20266866202).

The spelling of 20212445000 in words is "twenty billion, two hundred twelve million, four hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 625 968 1000 1100 1210 1250 1375 2200 2420 2500 2750 3025 4840 5000 5500 6050 6875 11000 12100 13750 15125 24200 27500 30250 33409 55000 60500 66818 75625 121000 133636 151250 167045 267272 302500 334090 367499 605000 668180 734998 835225 1336360 1469996 1670450 1837495 2939992 3340900 3674990 4042489 4176125 6681800 7349980 8084978 8352250 9187475 14699960 16169956 16704500 18374950 20212445 20880625 32339912 33409000 36749900 40424890 41761250 45937375 73499800 80849780 83522500 91874750 101062225 161699560 167045000 183749500 202124450 229686875 367499000 404248900 459373750 505311125 808497800 918747500 1010622250 1837495000 2021244500 2526555625 4042489000 5053111250 10106222500 20212445000