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78222021124 = 221323123472
BaseRepresentation
bin100100011011001100…
…1010101001000000100
321110220102112101111111
41020312121111020010
52240144314133444
655533521214404
75436262131502
oct1106631251004
9243812471444
1078222021124
11301a0323255
12131b0491404
1374b7985100
143b00995672
15207c365234
hex1236655204

78222021124 has 81 divisors (see below), whose sum is σ = 153606888981. Its totient is φ = 34837189920.

The previous prime is 78222021121. The next prime is 78222021167. The reversal of 78222021124 is 42112022287.

The square root of 78222021124 is 279682.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11571304900 + 66650716224 = 107570^2 + 258168^2 .

It is a super-2 number, since 2×782220211242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (78222021121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 225423519 + ... + 225423865.

Almost surely, 278222021124 is an apocalyptic number.

78222021124 is the 279682-nd square number.

It is an amenable number.

78222021124 is a deficient number, since it is larger than the sum of its proper divisors (75384867857).

78222021124 is a wasteful number, since it uses less digits than its factorization.

78222021124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 78222021124 in words is "seventy-eight billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 31 52 62 124 169 338 347 403 676 694 806 961 1388 1612 1922 3844 4511 5239 9022 10478 10757 12493 18044 20956 21514 24986 43028 49972 58643 117286 120409 139841 162409 234572 240818 279682 324818 333467 481636 559364 649636 666934 1333868 1565317 1817933 3130634 3635866 3732679 4335071 6261268 7271732 7465358 8670142 14930716 17340284 20349121 40698242 48524827 56355923 81396484 97049654 112711846 115713049 194099308 225423692 231426098 462852196 630822751 1261645502 1504269637 2523291004 3008539274 6017078548 19555505281 39111010562 78222021124