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2241573872028 = 2231959781721317
BaseRepresentation
bin100000100111101000001…
…101101110000110011100
321221021220010201001111120
4200213220031232012130
5243211220402401103
64433433111250540
7320643201352041
oct40475015560634
97837803631446
102241573872028
11794712016407
12302522679a50
131334c1a2110a
147a6c81911c8
153d4961c6253
hex209e836e19c

2241573872028 has 96 divisors (see below), whose sum is σ = 5599914566400. Its totient is φ = 695746054656.

The previous prime is 2241573872023. The next prime is 2241573872039. The reversal of 2241573872028 is 8202783751422.

It is a happy number.

It is a super-3 number, since 3×22415738720283 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241573872023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 105143626 + ... + 105164942.

It is an arithmetic number, because the mean of its divisors is an integer number (58332443400).

Almost surely, 22241573872028 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 2241573872028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799957283200).

2241573872028 is an abundant number, since it is smaller than the sum of its proper divisors (3358340694372).

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

2241573872028 is a wasteful number, since it uses less digits than its factorization.

2241573872028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29219 (or 29217 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 51.

The spelling of 2241573872028 in words is "two trillion, two hundred forty-one billion, five hundred seventy-three million, eight hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 4484 6726 7817 13452 15634 21317 23451 31268 42634 46902 63951 85268 93804 127902 148523 255804 297046 405023 445569 461203 594092 810046 891138 922406 1215069 1257703 1383609 1620092 1782276 1844812 2430138 2515406 2767218 3773109 4860276 5030812 5534436 7546218 8762857 15092436 17525714 23896357 26288571 35051428 47792714 52577142 71689071 95585428 105154284 143378142 166634989 286756284 333269978 499904967 666539956 999809934 1999619868 3166064791 6332129582 9498194373 9831464351 12664259164 18996388746 19662928702 29494393053 37992777492 39325857404 58988786106 117977572212 186797822669 373595645338 560393468007 747191290676 1120786936014 2241573872028