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222897009047040 = 2933561319116567
BaseRepresentation
bin110010101011100101000001…
…000010111011011000000000
31002020012202010210201100022000
4302223211001002323120000
5213203421033304001130
62110021250005344000
764643530450052526
oct6253450102733000
91066182123640260
10222897009047040
11650270aa76a809
1220bbab25408000
13974b136a28713
143d083b67c8316
151ab80e1a76260
hexcab9410bb600

222897009047040 has 640 divisors, whose sum is σ = 805029014845440. Its totient is φ = 58442939596800.

The previous prime is 222897009047033. The next prime is 222897009047123. The reversal of 222897009047040 is 40740900798222.

It is a happy number.

222897009047040 is a `hidden beast` number, since 2 + 2 + 2 + 89 + 7 + 0 + 0 + 90 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×2228970090470403 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13454268837 + ... + 13454285403.

It is an arithmetic number, because the mean of its divisors is an integer number (1257857835696).

Almost surely, 2222897009047040 is an apocalyptic number.

222897009047040 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 222897009047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402514507422720).

222897009047040 is an abundant number, since it is smaller than the sum of its proper divisors (582132005798400).

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

222897009047040 is a wasteful number, since it uses less digits than its factorization.

222897009047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19851 (or 19829 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 222897009047040 in words is "two hundred twenty-two trillion, eight hundred ninety-seven billion, nine million, forty-seven thousand, forty".