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4002220500 = 2235316316369
BaseRepresentation
bin1110111010001101…
…0000100111010100
3101022220212212101220
43232203100213110
531144032024000
61501045250340
7201115212225
oct35643204724
911286785356
104002220500
111774170553
129384039b0
134ba21b315
1429d77124c
151865631a0
hexee8d09d4

4002220500 has 96 divisors (see below), whose sum is σ = 11726682240. Its totient is φ = 1060646400.

The previous prime is 4002220493. The next prime is 4002220531. The reversal of 4002220500 is 50222004.

4002220500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4002220500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236316 + ... + 252684.

It is an arithmetic number, because the mean of its divisors is an integer number (122152940).

Almost surely, 24002220500 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 4002220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863341120).

4002220500 is an abundant number, since it is smaller than the sum of its proper divisors (7724461740).

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

4002220500 is a wasteful number, since it uses less digits than its factorization.

4002220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16542 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4002220500 is about 63263.1053616561. The cubic root of 4002220500 is about 1587.6947329680.

Adding to 4002220500 its reverse (50222004), we get a palindrome (4052442504).

The spelling of 4002220500 in words is "four billion, two million, two hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 163 250 300 326 375 489 500 652 750 815 978 1500 1630 1956 2445 3260 4075 4890 8150 9780 12225 16300 16369 20375 24450 32738 40750 48900 49107 61125 65476 81500 81845 98214 122250 163690 196428 244500 245535 327380 409225 491070 818450 982140 1227675 1636900 2046125 2455350 2668147 4092250 4910700 5336294 6138375 8004441 8184500 10672588 12276750 13340735 16008882 24553500 26681470 32017764 40022205 53362940 66703675 80044410 133407350 160088820 200111025 266814700 333518375 400222050 667036750 800444100 1000555125 1334073500 2001110250 4002220500