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72219001250 = 2541126912
BaseRepresentation
bin100001101000010010…
…1101000000110100010
320220102001210101100002
41003100211220012202
52140401031020000
653102115500002
75134440245024
oct1032045500642
9226361711302
1072219001250
112869a81a600
1211bb5bb7602
136a6c09c946
1436d15dc014
151d2a3328d5
hex10d09681a2

72219001250 has 90 divisors (see below), whose sum is σ = 149007792087. Its totient is φ = 26223450000.

The previous prime is 72219001241. The next prime is 72219001277. The reversal of 72219001250 is 5210091227.

It can be written as a sum of positive squares in 3 ways, for example, as 16697033089 + 55521968161 = 129217^2 + 235631^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 104513405 + ... + 104514095.

Almost surely, 272219001250 is an apocalyptic number.

72219001250 is an abundant number, since it is smaller than the sum of its proper divisors (76788790837).

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

72219001250 is an frugal number, since it uses more digits than its factorization.

72219001250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 72219001250 its reverse (5210091227), we get a palindrome (77429092477).

The spelling of 72219001250 in words is "seventy-two billion, two hundred nineteen million, one thousand, two hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 121 125 242 250 275 550 605 625 691 1210 1250 1375 1382 2750 3025 3455 6050 6875 6910 7601 13750 15125 15202 17275 30250 34550 38005 75625 76010 83611 86375 151250 167222 172750 190025 380050 418055 431875 477481 836110 863750 950125 954962 1900250 2090275 2387405 4180550 4750625 4774810 5252291 9501250 10451375 10504582 11937025 20902750 23874050 26261455 52256875 52522910 57775201 59685125 104513750 115550402 119370250 131307275 262614550 288876005 298425625 577752010 596851250 656536375 1313072750 1444380025 2888760050 3282681875 6565363750 7221900125 14443800250 36109500625 72219001250