Search a number
-
+
222773036734640 = 2457313710710912971
BaseRepresentation
bin110010101001110001100011…
…101110000101100010110000
31002012202220010221221100121002
4302221301203232011202300
5213144403134401002030
62105444304212421132
764631551344561440
oct6251614356054260
91065686127840532
10222773036734640
1164a89572612587
1220b9aaa73177a8
13973c53a895252
143d023b5a98120
151ab4c87eb9245
hexca9c63b858b0

222773036734640 has 640 divisors, whose sum is σ = 634207984091136. Its totient is φ = 71156371968000.

The previous prime is 222773036734601. The next prime is 222773036734643. The reversal of 222773036734640 is 46437630377222.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (222773036734643) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74982508355 + ... + 74982511325.

Almost surely, 2222773036734640 is an apocalyptic number.

222773036734640 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 222773036734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317103992045568).

222773036734640 is an abundant number, since it is smaller than the sum of its proper divisors (411434947356496).

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

222773036734640 is a wasteful number, since it uses less digits than its factorization.

222773036734640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 56.

The spelling of 222773036734640 in words is "two hundred twenty-two trillion, seven hundred seventy-three billion, thirty-six million, seven hundred thirty-four thousand, six hundred forty".